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Finding the Fourth Proportional to 11,538.52, 17,291.54 and 6,600.76

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Solution

The fourth proportional to 11,538.52, 17,291.54 and 6,600.76 is: 9,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.52 : 17,291.54 = 6,600.76 : x
  2. Step 2: Convert to fraction form
    11,538.52/17,291.54 = 6,600.76/x
  3. Step 3: Cross multiply
    11,538.52x = 17,291.54 × 6,600.76
  4. Step 4: Simplify right side
    11,538.52x = 114,137,305.57
  5. Step 5: Solve for x
    x = 114,137,305.57/11,538.52
  6. Step 6: Final answer
    x = 9,891.85

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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.