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Finding the Fourth Proportional to 10,358.70, 15,539.76 and 4,118.75

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Solution

The fourth proportional to 10,358.70, 15,539.76 and 4,118.75 is: 6,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.70 : 15,539.76 = 4,118.75 : x
  2. Step 2: Convert to fraction form
    10,358.70/15,539.76 = 4,118.75/x
  3. Step 3: Cross multiply
    10,358.70x = 15,539.76 × 4,118.75
  4. Step 4: Simplify right side
    10,358.70x = 64,004,386.50
  5. Step 5: Solve for x
    x = 64,004,386.50/10,358.70
  6. Step 6: Final answer
    x = 6,178.80

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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.