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Finding the Fourth Proportional to 10,412.32, 15,589.60 and 8,108.32

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Solution

The fourth proportional to 10,412.32, 15,589.60 and 8,108.32 is: 12,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.32 : 15,589.60 = 8,108.32 : x
  2. Step 2: Convert to fraction form
    10,412.32/15,589.60 = 8,108.32/x
  3. Step 3: Cross multiply
    10,412.32x = 15,589.60 × 8,108.32
  4. Step 4: Simplify right side
    10,412.32x = 126,405,465.47
  5. Step 5: Solve for x
    x = 126,405,465.47/10,412.32
  6. Step 6: Final answer
    x = 12,139.99

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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.