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Finding the Fourth Proportional to 10,976.88, 15,148.04 and 5,941.10

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Solution

The fourth proportional to 10,976.88, 15,148.04 and 5,941.10 is: 8,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.88 : 15,148.04 = 5,941.10 : x
  2. Step 2: Convert to fraction form
    10,976.88/15,148.04 = 5,941.10/x
  3. Step 3: Cross multiply
    10,976.88x = 15,148.04 × 5,941.10
  4. Step 4: Simplify right side
    10,976.88x = 89,996,073.17
  5. Step 5: Solve for x
    x = 89,996,073.17/10,976.88
  6. Step 6: Final answer
    x = 8,198.69

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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.