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Finding the Fourth Proportional to 10,691.14, 16,039.14 and 4,849.42

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Solution

The fourth proportional to 10,691.14, 16,039.14 and 4,849.42 is: 7,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.14 : 16,039.14 = 4,849.42 : x
  2. Step 2: Convert to fraction form
    10,691.14/16,039.14 = 4,849.42/x
  3. Step 3: Cross multiply
    10,691.14x = 16,039.14 × 4,849.42
  4. Step 4: Simplify right side
    10,691.14x = 77,780,526.30
  5. Step 5: Solve for x
    x = 77,780,526.30/10,691.14
  6. Step 6: Final answer
    x = 7,275.23

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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.