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Finding the Fourth Proportional to 11,141.71, 15,375.86 and 6,426.30

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Solution

The fourth proportional to 11,141.71, 15,375.86 and 6,426.30 is: 8,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.71 : 15,375.86 = 6,426.30 : x
  2. Step 2: Convert to fraction form
    11,141.71/15,375.86 = 6,426.30/x
  3. Step 3: Cross multiply
    11,141.71x = 15,375.86 × 6,426.30
  4. Step 4: Simplify right side
    11,141.71x = 98,809,889.12
  5. Step 5: Solve for x
    x = 98,809,889.12/11,141.71
  6. Step 6: Final answer
    x = 8,868.47

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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.