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Finding the Fourth Proportional to 8,534.67, 12,801.61 and 2,989.25

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Solution

The fourth proportional to 8,534.67, 12,801.61 and 2,989.25 is: 4,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.67 : 12,801.61 = 2,989.25 : x
  2. Step 2: Convert to fraction form
    8,534.67/12,801.61 = 2,989.25/x
  3. Step 3: Cross multiply
    8,534.67x = 12,801.61 × 2,989.25
  4. Step 4: Simplify right side
    8,534.67x = 38,267,272.44
  5. Step 5: Solve for x
    x = 38,267,272.44/8,534.67
  6. Step 6: Final answer
    x = 4,483.75

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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.