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Finding the Fourth Proportional to 11,600.46, 17,399.88 and 3,702.83

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Solution

The fourth proportional to 11,600.46, 17,399.88 and 3,702.83 is: 5,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.46 : 17,399.88 = 3,702.83 : x
  2. Step 2: Convert to fraction form
    11,600.46/17,399.88 = 3,702.83/x
  3. Step 3: Cross multiply
    11,600.46x = 17,399.88 × 3,702.83
  4. Step 4: Simplify right side
    11,600.46x = 64,428,710.66
  5. Step 5: Solve for x
    x = 64,428,710.66/11,600.46
  6. Step 6: Final answer
    x = 5,553.98

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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.