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Finding the Fourth Proportional to 10,891.59, 15,031.20 and 6,112.09

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Solution

The fourth proportional to 10,891.59, 15,031.20 and 6,112.09 is: 8,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.59 : 15,031.20 = 6,112.09 : x
  2. Step 2: Convert to fraction form
    10,891.59/15,031.20 = 6,112.09/x
  3. Step 3: Cross multiply
    10,891.59x = 15,031.20 × 6,112.09
  4. Step 4: Simplify right side
    10,891.59x = 91,872,047.21
  5. Step 5: Solve for x
    x = 91,872,047.21/10,891.59
  6. Step 6: Final answer
    x = 8,435.14

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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.