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Finding the Fourth Proportional to 7,703.10, 10,614.24 and 5,929.20

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Solution

The fourth proportional to 7,703.10, 10,614.24 and 5,929.20 is: 8,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 10,614.24 = 5,929.20 : x
  2. Step 2: Convert to fraction form
    7,703.10/10,614.24 = 5,929.20/x
  3. Step 3: Cross multiply
    7,703.10x = 10,614.24 × 5,929.20
  4. Step 4: Simplify right side
    7,703.10x = 62,933,951.81
  5. Step 5: Solve for x
    x = 62,933,951.81/7,703.10
  6. Step 6: Final answer
    x = 8,169.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.