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Finding the Fourth Proportional to 7,115.68, 10,720.96 and 6,423.13

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Solution

The fourth proportional to 7,115.68, 10,720.96 and 6,423.13 is: 9,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.68 : 10,720.96 = 6,423.13 : x
  2. Step 2: Convert to fraction form
    7,115.68/10,720.96 = 6,423.13/x
  3. Step 3: Cross multiply
    7,115.68x = 10,720.96 × 6,423.13
  4. Step 4: Simplify right side
    7,115.68x = 68,862,119.80
  5. Step 5: Solve for x
    x = 68,862,119.80/7,115.68
  6. Step 6: Final answer
    x = 9,677.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.