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Finding the Fourth Proportional to 10,589.52, 15,878.60 and 3,567.21

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Solution

The fourth proportional to 10,589.52, 15,878.60 and 3,567.21 is: 5,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.52 : 15,878.60 = 3,567.21 : x
  2. Step 2: Convert to fraction form
    10,589.52/15,878.60 = 3,567.21/x
  3. Step 3: Cross multiply
    10,589.52x = 15,878.60 × 3,567.21
  4. Step 4: Simplify right side
    10,589.52x = 56,642,236.70
  5. Step 5: Solve for x
    x = 56,642,236.70/10,589.52
  6. Step 6: Final answer
    x = 5,348.90

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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.