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Finding the Fourth Proportional to 8,532.84, 12,799.26 and 2,986.38

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Solution

The fourth proportional to 8,532.84, 12,799.26 and 2,986.38 is: 4,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 12,799.26 = 2,986.38 : x
  2. Step 2: Convert to fraction form
    8,532.84/12,799.26 = 2,986.38/x
  3. Step 3: Cross multiply
    8,532.84x = 12,799.26 × 2,986.38
  4. Step 4: Simplify right side
    8,532.84x = 38,223,454.08
  5. Step 5: Solve for x
    x = 38,223,454.08/8,532.84
  6. Step 6: Final answer
    x = 4,479.57

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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.