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Finding the Fourth Proportional to 8,034.28, 11,088 and 4,497.44

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Solution

The fourth proportional to 8,034.28, 11,088 and 4,497.44 is: 6,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.28 : 11,088 = 4,497.44 : x
  2. Step 2: Convert to fraction form
    8,034.28/11,088 = 4,497.44/x
  3. Step 3: Cross multiply
    8,034.28x = 11,088 × 4,497.44
  4. Step 4: Simplify right side
    8,034.28x = 49,867,614.72
  5. Step 5: Solve for x
    x = 49,867,614.72/8,034.28
  6. Step 6: Final answer
    x = 6,206.86

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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.