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Finding the Fourth Proportional to 11,175.73, 15,422.88 and 6,140.31

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Solution

The fourth proportional to 11,175.73, 15,422.88 and 6,140.31 is: 8,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.73 : 15,422.88 = 6,140.31 : x
  2. Step 2: Convert to fraction form
    11,175.73/15,422.88 = 6,140.31/x
  3. Step 3: Cross multiply
    11,175.73x = 15,422.88 × 6,140.31
  4. Step 4: Simplify right side
    11,175.73x = 94,701,264.29
  5. Step 5: Solve for x
    x = 94,701,264.29/11,175.73
  6. Step 6: Final answer
    x = 8,473.83

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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.