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Finding the Fourth Proportional to 8,254.57, 11,391.25 and 4,477.66

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Solution

The fourth proportional to 8,254.57, 11,391.25 and 4,477.66 is: 6,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.57 : 11,391.25 = 4,477.66 : x
  2. Step 2: Convert to fraction form
    8,254.57/11,391.25 = 4,477.66/x
  3. Step 3: Cross multiply
    8,254.57x = 11,391.25 × 4,477.66
  4. Step 4: Simplify right side
    8,254.57x = 51,006,144.48
  5. Step 5: Solve for x
    x = 51,006,144.48/8,254.57
  6. Step 6: Final answer
    x = 6,179.14

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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.