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Finding the Fourth Proportional to 10,711.89, 16,066.94 and 3,691.89

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Solution

The fourth proportional to 10,711.89, 16,066.94 and 3,691.89 is: 5,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.89 : 16,066.94 = 3,691.89 : x
  2. Step 2: Convert to fraction form
    10,711.89/16,066.94 = 3,691.89/x
  3. Step 3: Cross multiply
    10,711.89x = 16,066.94 × 3,691.89
  4. Step 4: Simplify right side
    10,711.89x = 59,317,356.66
  5. Step 5: Solve for x
    x = 59,317,356.66/10,711.89
  6. Step 6: Final answer
    x = 5,537.52

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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.