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Finding the Fourth Proportional to 11,496.60, 17,217.72 and 5,654.88

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Solution

The fourth proportional to 11,496.60, 17,217.72 and 5,654.88 is: 8,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.60 : 17,217.72 = 5,654.88 : x
  2. Step 2: Convert to fraction form
    11,496.60/17,217.72 = 5,654.88/x
  3. Step 3: Cross multiply
    11,496.60x = 17,217.72 × 5,654.88
  4. Step 4: Simplify right side
    11,496.60x = 97,364,140.47
  5. Step 5: Solve for x
    x = 97,364,140.47/11,496.60
  6. Step 6: Final answer
    x = 8,468.95

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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.