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Finding the Fourth Proportional to 10,981.88, 15,161.88 and 8,459.24

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Solution

The fourth proportional to 10,981.88, 15,161.88 and 8,459.24 is: 11,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.88 : 15,161.88 = 8,459.24 : x
  2. Step 2: Convert to fraction form
    10,981.88/15,161.88 = 8,459.24/x
  3. Step 3: Cross multiply
    10,981.88x = 15,161.88 × 8,459.24
  4. Step 4: Simplify right side
    10,981.88x = 128,257,937.68
  5. Step 5: Solve for x
    x = 128,257,937.68/10,981.88
  6. Step 6: Final answer
    x = 11,679.05

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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.