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Finding the Fourth Proportional to 10,034.12, 15,043.82 and 6,141.26

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Solution

The fourth proportional to 10,034.12, 15,043.82 and 6,141.26 is: 9,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.12 : 15,043.82 = 6,141.26 : x
  2. Step 2: Convert to fraction form
    10,034.12/15,043.82 = 6,141.26/x
  3. Step 3: Cross multiply
    10,034.12x = 15,043.82 × 6,141.26
  4. Step 4: Simplify right side
    10,034.12x = 92,387,904.09
  5. Step 5: Solve for x
    x = 92,387,904.09/10,034.12
  6. Step 6: Final answer
    x = 9,207.38

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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.