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Finding the Fourth Proportional to 10,961.44, 15,125.86 and 6,182.56

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Solution

The fourth proportional to 10,961.44, 15,125.86 and 6,182.56 is: 8,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.44 : 15,125.86 = 6,182.56 : x
  2. Step 2: Convert to fraction form
    10,961.44/15,125.86 = 6,182.56/x
  3. Step 3: Cross multiply
    10,961.44x = 15,125.86 × 6,182.56
  4. Step 4: Simplify right side
    10,961.44x = 93,516,537.00
  5. Step 5: Solve for x
    x = 93,516,537.00/10,961.44
  6. Step 6: Final answer
    x = 8,531.41

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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.