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Finding the Fourth Proportional to 10,489.91, 14,474.45 and 6,716.42

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Solution

The fourth proportional to 10,489.91, 14,474.45 and 6,716.42 is: 9,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.91 : 14,474.45 = 6,716.42 : x
  2. Step 2: Convert to fraction form
    10,489.91/14,474.45 = 6,716.42/x
  3. Step 3: Cross multiply
    10,489.91x = 14,474.45 × 6,716.42
  4. Step 4: Simplify right side
    10,489.91x = 97,216,446.39
  5. Step 5: Solve for x
    x = 97,216,446.39/10,489.91
  6. Step 6: Final answer
    x = 9,267.62

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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.