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Finding the Fourth Proportional to 10,884.36, 15,013.14 and 8,642.64

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Solution

The fourth proportional to 10,884.36, 15,013.14 and 8,642.64 is: 11,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.36 : 15,013.14 = 8,642.64 : x
  2. Step 2: Convert to fraction form
    10,884.36/15,013.14 = 8,642.64/x
  3. Step 3: Cross multiply
    10,884.36x = 15,013.14 × 8,642.64
  4. Step 4: Simplify right side
    10,884.36x = 129,753,164.29
  5. Step 5: Solve for x
    x = 129,753,164.29/10,884.36
  6. Step 6: Final answer
    x = 11,921.07

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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.