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Finding the Fourth Proportional to 8,271.52, 11,414.16 and 4,545.28

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Solution

The fourth proportional to 8,271.52, 11,414.16 and 4,545.28 is: 6,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.52 : 11,414.16 = 4,545.28 : x
  2. Step 2: Convert to fraction form
    8,271.52/11,414.16 = 4,545.28/x
  3. Step 3: Cross multiply
    8,271.52x = 11,414.16 × 4,545.28
  4. Step 4: Simplify right side
    8,271.52x = 51,880,553.16
  5. Step 5: Solve for x
    x = 51,880,553.16/8,271.52
  6. Step 6: Final answer
    x = 6,272.19

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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.