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Finding the Fourth Proportional to 10,489.34, 14,463.47 and 7,651.71

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Solution

The fourth proportional to 10,489.34, 14,463.47 and 7,651.71 is: 10,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.34 : 14,463.47 = 7,651.71 : x
  2. Step 2: Convert to fraction form
    10,489.34/14,463.47 = 7,651.71/x
  3. Step 3: Cross multiply
    10,489.34x = 14,463.47 × 7,651.71
  4. Step 4: Simplify right side
    10,489.34x = 110,670,239.78
  5. Step 5: Solve for x
    x = 110,670,239.78/10,489.34
  6. Step 6: Final answer
    x = 10,550.74

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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.