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Finding the Fourth Proportional to 8,582.46, 12,875.05 and 2,737.70

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Solution

The fourth proportional to 8,582.46, 12,875.05 and 2,737.70 is: 4,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.46 : 12,875.05 = 2,737.70 : x
  2. Step 2: Convert to fraction form
    8,582.46/12,875.05 = 2,737.70/x
  3. Step 3: Cross multiply
    8,582.46x = 12,875.05 × 2,737.70
  4. Step 4: Simplify right side
    8,582.46x = 35,248,011.71
  5. Step 5: Solve for x
    x = 35,248,011.71/8,582.46
  6. Step 6: Final answer
    x = 4,106.98

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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.