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Finding the Fourth Proportional to 10,296.88, 15,517.85 and 9,310.82

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Solution

The fourth proportional to 10,296.88, 15,517.85 and 9,310.82 is: 14,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.88 : 15,517.85 = 9,310.82 : x
  2. Step 2: Convert to fraction form
    10,296.88/15,517.85 = 9,310.82/x
  3. Step 3: Cross multiply
    10,296.88x = 15,517.85 × 9,310.82
  4. Step 4: Simplify right side
    10,296.88x = 144,483,853.82
  5. Step 5: Solve for x
    x = 144,483,853.82/10,296.88
  6. Step 6: Final answer
    x = 14,031.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.