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Finding the Fourth Proportional to 11,589.76, 16,000.80 and 7,617.52

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Solution

The fourth proportional to 11,589.76, 16,000.80 and 7,617.52 is: 10,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.76 : 16,000.80 = 7,617.52 : x
  2. Step 2: Convert to fraction form
    11,589.76/16,000.80 = 7,617.52/x
  3. Step 3: Cross multiply
    11,589.76x = 16,000.80 × 7,617.52
  4. Step 4: Simplify right side
    11,589.76x = 121,886,414.02
  5. Step 5: Solve for x
    x = 121,886,414.02/11,589.76
  6. Step 6: Final answer
    x = 10,516.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.