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Finding the Fourth Proportional to 10,691.61, 14,744.87 and 6,713.09

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Solution

The fourth proportional to 10,691.61, 14,744.87 and 6,713.09 is: 9,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.61 : 14,744.87 = 6,713.09 : x
  2. Step 2: Convert to fraction form
    10,691.61/14,744.87 = 6,713.09/x
  3. Step 3: Cross multiply
    10,691.61x = 14,744.87 × 6,713.09
  4. Step 4: Simplify right side
    10,691.61x = 98,983,605.78
  5. Step 5: Solve for x
    x = 98,983,605.78/10,691.61
  6. Step 6: Final answer
    x = 9,258.07

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