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Finding the Fourth Proportional to 10,654.29, 14,703.30 and 5,874.57

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Solution

The fourth proportional to 10,654.29, 14,703.30 and 5,874.57 is: 8,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.29 : 14,703.30 = 5,874.57 : x
  2. Step 2: Convert to fraction form
    10,654.29/14,703.30 = 5,874.57/x
  3. Step 3: Cross multiply
    10,654.29x = 14,703.30 × 5,874.57
  4. Step 4: Simplify right side
    10,654.29x = 86,375,565.08
  5. Step 5: Solve for x
    x = 86,375,565.08/10,654.29
  6. Step 6: Final answer
    x = 8,107.12

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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.