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Finding the Fourth Proportional to 8,582.72, 12,874.24 and 2,737.92

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Solution

The fourth proportional to 8,582.72, 12,874.24 and 2,737.92 is: 4,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.72 : 12,874.24 = 2,737.92 : x
  2. Step 2: Convert to fraction form
    8,582.72/12,874.24 = 2,737.92/x
  3. Step 3: Cross multiply
    8,582.72x = 12,874.24 × 2,737.92
  4. Step 4: Simplify right side
    8,582.72x = 35,248,639.18
  5. Step 5: Solve for x
    x = 35,248,639.18/8,582.72
  6. Step 6: Final answer
    x = 4,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.