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Finding the Fourth Proportional to 6,784,806.40, 10,193,798.40 and 5,105,190.40

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Solution

The fourth proportional to 6,784,806.40, 10,193,798.40 and 5,105,190.40 is: 7,670,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,806.40 : 10,193,798.40 = 5,105,190.40 : x
  2. Step 2: Convert to fraction form
    6,784,806.40/10,193,798.40 = 5,105,190.40/x
  3. Step 3: Cross multiply
    6,784,806.40x = 10,193,798.40 × 5,105,190.40
  4. Step 4: Simplify right side
    6,784,806.40x = 52,041,281,731,215.37
  5. Step 5: Solve for x
    x = 52,041,281,731,215.37/6,784,806.40
  6. Step 6: Final answer
    x = 7,670,267.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.