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Finding the Fourth Proportional to 10,707.92, 16,061.87 and 4,470.87

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Solution

The fourth proportional to 10,707.92, 16,061.87 and 4,470.87 is: 6,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.92 : 16,061.87 = 4,470.87 : x
  2. Step 2: Convert to fraction form
    10,707.92/16,061.87 = 4,470.87/x
  3. Step 3: Cross multiply
    10,707.92x = 16,061.87 × 4,470.87
  4. Step 4: Simplify right side
    10,707.92x = 71,810,543.90
  5. Step 5: Solve for x
    x = 71,810,543.90/10,707.92
  6. Step 6: Final answer
    x = 6,706.31

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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.