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Finding the Fourth Proportional to 10,631.39, 14,677.07 and 7,454.43

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Solution

The fourth proportional to 10,631.39, 14,677.07 and 7,454.43 is: 10,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.39 : 14,677.07 = 7,454.43 : x
  2. Step 2: Convert to fraction form
    10,631.39/14,677.07 = 7,454.43/x
  3. Step 3: Cross multiply
    10,631.39x = 14,677.07 × 7,454.43
  4. Step 4: Simplify right side
    10,631.39x = 109,409,153.65
  5. Step 5: Solve for x
    x = 109,409,153.65/10,631.39
  6. Step 6: Final answer
    x = 10,291.15

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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.