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Finding the Fourth Proportional to 6,784,810.40, 10,193,804.40 and 5,105,194.40

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Solution

The fourth proportional to 6,784,810.40, 10,193,804.40 and 5,105,194.40 is: 7,670,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,810.40 : 10,193,804.40 = 5,105,194.40 : x
  2. Step 2: Convert to fraction form
    6,784,810.40/10,193,804.40 = 5,105,194.40/x
  3. Step 3: Cross multiply
    6,784,810.40x = 10,193,804.40 × 5,105,194.40
  4. Step 4: Simplify right side
    6,784,810.40x = 52,041,353,137,575.37
  5. Step 5: Solve for x
    x = 52,041,353,137,575.37/6,784,810.40
  6. Step 6: Final answer
    x = 7,670,273.75

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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.