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Finding the Fourth Proportional to 11,182.50, 15,431.85 and 6,469.52

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Solution

The fourth proportional to 11,182.50, 15,431.85 and 6,469.52 is: 8,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.50 : 15,431.85 = 6,469.52 : x
  2. Step 2: Convert to fraction form
    11,182.50/15,431.85 = 6,469.52/x
  3. Step 3: Cross multiply
    11,182.50x = 15,431.85 × 6,469.52
  4. Step 4: Simplify right side
    11,182.50x = 99,836,585.05
  5. Step 5: Solve for x
    x = 99,836,585.05/11,182.50
  6. Step 6: Final answer
    x = 8,927.93

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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.