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Finding the Fourth Proportional to 8,269.31, 11,411.85 and 4,733.66

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Solution

The fourth proportional to 8,269.31, 11,411.85 and 4,733.66 is: 6,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.31 : 11,411.85 = 4,733.66 : x
  2. Step 2: Convert to fraction form
    8,269.31/11,411.85 = 4,733.66/x
  3. Step 3: Cross multiply
    8,269.31x = 11,411.85 × 4,733.66
  4. Step 4: Simplify right side
    8,269.31x = 54,019,817.87
  5. Step 5: Solve for x
    x = 54,019,817.87/8,269.31
  6. Step 6: Final answer
    x = 6,532.57

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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.