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Finding the Fourth Proportional to 10,711.38, 14,782.27 and 6,731.02

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Solution

The fourth proportional to 10,711.38, 14,782.27 and 6,731.02 is: 9,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.38 : 14,782.27 = 6,731.02 : x
  2. Step 2: Convert to fraction form
    10,711.38/14,782.27 = 6,731.02/x
  3. Step 3: Cross multiply
    10,711.38x = 14,782.27 × 6,731.02
  4. Step 4: Simplify right side
    10,711.38x = 99,499,755.02
  5. Step 5: Solve for x
    x = 99,499,755.02/10,711.38
  6. Step 6: Final answer
    x = 9,289.16

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Why These Related Problems?

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