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Finding the Fourth Proportional to 10,611.59, 15,920.26 and 9,449.66

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Solution

The fourth proportional to 10,611.59, 15,920.26 and 9,449.66 is: 14,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.59 : 15,920.26 = 9,449.66 : x
  2. Step 2: Convert to fraction form
    10,611.59/15,920.26 = 9,449.66/x
  3. Step 3: Cross multiply
    10,611.59x = 15,920.26 × 9,449.66
  4. Step 4: Simplify right side
    10,611.59x = 150,441,036.02
  5. Step 5: Solve for x
    x = 150,441,036.02/10,611.59
  6. Step 6: Final answer
    x = 14,177.05

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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.