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Finding the Fourth Proportional to 8,582.68, 12,875.83 and 2,960.86

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Solution

The fourth proportional to 8,582.68, 12,875.83 and 2,960.86 is: 4,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.68 : 12,875.83 = 2,960.86 : x
  2. Step 2: Convert to fraction form
    8,582.68/12,875.83 = 2,960.86/x
  3. Step 3: Cross multiply
    8,582.68x = 12,875.83 × 2,960.86
  4. Step 4: Simplify right side
    8,582.68x = 38,123,530.01
  5. Step 5: Solve for x
    x = 38,123,530.01/8,582.68
  6. Step 6: Final answer
    x = 4,441.91

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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.