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Finding the Fourth Proportional to 8,264.25, 11,404.54 and 4,487.56

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Solution

The fourth proportional to 8,264.25, 11,404.54 and 4,487.56 is: 6,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.25 : 11,404.54 = 4,487.56 : x
  2. Step 2: Convert to fraction form
    8,264.25/11,404.54 = 4,487.56/x
  3. Step 3: Cross multiply
    8,264.25x = 11,404.54 × 4,487.56
  4. Step 4: Simplify right side
    8,264.25x = 51,178,557.52
  5. Step 5: Solve for x
    x = 51,178,557.52/8,264.25
  6. Step 6: Final answer
    x = 6,192.76

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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.