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Finding the Fourth Proportional to 10,462.68, 15,766.00 and 8,654.49

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Solution

The fourth proportional to 10,462.68, 15,766.00 and 8,654.49 is: 13,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.68 : 15,766.00 = 8,654.49 : x
  2. Step 2: Convert to fraction form
    10,462.68/15,766.00 = 8,654.49/x
  3. Step 3: Cross multiply
    10,462.68x = 15,766.00 × 8,654.49
  4. Step 4: Simplify right side
    10,462.68x = 136,446,667.70
  5. Step 5: Solve for x
    x = 136,446,667.70/10,462.68
  6. Step 6: Final answer
    x = 13,041.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.