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Finding the Fourth Proportional to 8,654.49, 12,992.90 and 7,429.77

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Solution

The fourth proportional to 8,654.49, 12,992.90 and 7,429.77 is: 11,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.49 : 12,992.90 = 7,429.77 : x
  2. Step 2: Convert to fraction form
    8,654.49/12,992.90 = 7,429.77/x
  3. Step 3: Cross multiply
    8,654.49x = 12,992.90 × 7,429.77
  4. Step 4: Simplify right side
    8,654.49x = 96,534,221.48
  5. Step 5: Solve for x
    x = 96,534,221.48/8,654.49
  6. Step 6: Final answer
    x = 11,154.24

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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.