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Finding the Fourth Proportional to 11,233.52, 16,853.52 and 4,658.48

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Solution

The fourth proportional to 11,233.52, 16,853.52 and 4,658.48 is: 6,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.52 : 16,853.52 = 4,658.48 : x
  2. Step 2: Convert to fraction form
    11,233.52/16,853.52 = 4,658.48/x
  3. Step 3: Cross multiply
    11,233.52x = 16,853.52 × 4,658.48
  4. Step 4: Simplify right side
    11,233.52x = 78,511,785.85
  5. Step 5: Solve for x
    x = 78,511,785.85/11,233.52
  6. Step 6: Final answer
    x = 6,989.06

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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.