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Finding the Fourth Proportional to 10,654.57, 14,703.40 and 5,874.68

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Solution

The fourth proportional to 10,654.57, 14,703.40 and 5,874.68 is: 8,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.57 : 14,703.40 = 5,874.68 : x
  2. Step 2: Convert to fraction form
    10,654.57/14,703.40 = 5,874.68/x
  3. Step 3: Cross multiply
    10,654.57x = 14,703.40 × 5,874.68
  4. Step 4: Simplify right side
    10,654.57x = 86,377,777.26
  5. Step 5: Solve for x
    x = 86,377,777.26/10,654.57
  6. Step 6: Final answer
    x = 8,107.11

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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.