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Finding the Fourth Proportional to 8,271.56, 11,414.96 and 4,545.56

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Solution

The fourth proportional to 8,271.56, 11,414.96 and 4,545.56 is: 6,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.56 : 11,414.96 = 4,545.56 : x
  2. Step 2: Convert to fraction form
    8,271.56/11,414.96 = 4,545.56/x
  3. Step 3: Cross multiply
    8,271.56x = 11,414.96 × 4,545.56
  4. Step 4: Simplify right side
    8,271.56x = 51,887,385.58
  5. Step 5: Solve for x
    x = 51,887,385.58/8,271.56
  6. Step 6: Final answer
    x = 6,272.99

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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.