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Finding the Fourth Proportional to 11,549.60, 17,294.88 and 6,349.76

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Solution

The fourth proportional to 11,549.60, 17,294.88 and 6,349.76 is: 9,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.60 : 17,294.88 = 6,349.76 : x
  2. Step 2: Convert to fraction form
    11,549.60/17,294.88 = 6,349.76/x
  3. Step 3: Cross multiply
    11,549.60x = 17,294.88 × 6,349.76
  4. Step 4: Simplify right side
    11,549.60x = 109,818,337.23
  5. Step 5: Solve for x
    x = 109,818,337.23/11,549.60
  6. Step 6: Final answer
    x = 9,508.41

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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.