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Finding the Fourth Proportional to 8,582.64, 12,869.84 and 3,649.61

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Solution

The fourth proportional to 8,582.64, 12,869.84 and 3,649.61 is: 5,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.64 : 12,869.84 = 3,649.61 : x
  2. Step 2: Convert to fraction form
    8,582.64/12,869.84 = 3,649.61/x
  3. Step 3: Cross multiply
    8,582.64x = 12,869.84 × 3,649.61
  4. Step 4: Simplify right side
    8,582.64x = 46,969,814.17
  5. Step 5: Solve for x
    x = 46,969,814.17/8,582.64
  6. Step 6: Final answer
    x = 5,472.65

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