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Finding the Fourth Proportional to 8,737.64, 13,106.94 and 2,582.12

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Solution

The fourth proportional to 8,737.64, 13,106.94 and 2,582.12 is: 3,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.64 : 13,106.94 = 2,582.12 : x
  2. Step 2: Convert to fraction form
    8,737.64/13,106.94 = 2,582.12/x
  3. Step 3: Cross multiply
    8,737.64x = 13,106.94 × 2,582.12
  4. Step 4: Simplify right side
    8,737.64x = 33,843,691.91
  5. Step 5: Solve for x
    x = 33,843,691.91/8,737.64
  6. Step 6: Final answer
    x = 3,873.32

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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.