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Finding the Fourth Proportional to 8,654.60, 12,963.06 and 5,689.69

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Solution

The fourth proportional to 8,654.60, 12,963.06 and 5,689.69 is: 8,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.60 : 12,963.06 = 5,689.69 : x
  2. Step 2: Convert to fraction form
    8,654.60/12,963.06 = 5,689.69/x
  3. Step 3: Cross multiply
    8,654.60x = 12,963.06 × 5,689.69
  4. Step 4: Simplify right side
    8,654.60x = 73,755,835.93
  5. Step 5: Solve for x
    x = 73,755,835.93/8,654.60
  6. Step 6: Final answer
    x = 8,522.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.