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Finding the Fourth Proportional to 8,269.57, 11,409.42 and 4,732.10

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Solution

The fourth proportional to 8,269.57, 11,409.42 and 4,732.10 is: 6,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.57 : 11,409.42 = 4,732.10 : x
  2. Step 2: Convert to fraction form
    8,269.57/11,409.42 = 4,732.10/x
  3. Step 3: Cross multiply
    8,269.57x = 11,409.42 × 4,732.10
  4. Step 4: Simplify right side
    8,269.57x = 53,990,516.38
  5. Step 5: Solve for x
    x = 53,990,516.38/8,269.57
  6. Step 6: Final answer
    x = 6,528.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.