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Finding the Fourth Proportional to 10,878.24, 15,003.84 and 9,458.88

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Solution

The fourth proportional to 10,878.24, 15,003.84 and 9,458.88 is: 13,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.24 : 15,003.84 = 9,458.88 : x
  2. Step 2: Convert to fraction form
    10,878.24/15,003.84 = 9,458.88/x
  3. Step 3: Cross multiply
    10,878.24x = 15,003.84 × 9,458.88
  4. Step 4: Simplify right side
    10,878.24x = 141,919,522.10
  5. Step 5: Solve for x
    x = 141,919,522.10/10,878.24
  6. Step 6: Final answer
    x = 13,046.18

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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.