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Finding the Fourth Proportional to 8,531.87, 12,797.41 and 2,986.46

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Solution

The fourth proportional to 8,531.87, 12,797.41 and 2,986.46 is: 4,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.87 : 12,797.41 = 2,986.46 : x
  2. Step 2: Convert to fraction form
    8,531.87/12,797.41 = 2,986.46/x
  3. Step 3: Cross multiply
    8,531.87x = 12,797.41 × 2,986.46
  4. Step 4: Simplify right side
    8,531.87x = 38,218,953.07
  5. Step 5: Solve for x
    x = 38,218,953.07/8,531.87
  6. Step 6: Final answer
    x = 4,479.55

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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.