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Finding the Fourth Proportional to 11,175.52, 15,422.88 and 6,461.44

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Solution

The fourth proportional to 11,175.52, 15,422.88 and 6,461.44 is: 8,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.52 : 15,422.88 = 6,461.44 : x
  2. Step 2: Convert to fraction form
    11,175.52/15,422.88 = 6,461.44/x
  3. Step 3: Cross multiply
    11,175.52x = 15,422.88 × 6,461.44
  4. Step 4: Simplify right side
    11,175.52x = 99,654,013.75
  5. Step 5: Solve for x
    x = 99,654,013.75/11,175.52
  6. Step 6: Final answer
    x = 8,917.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.