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Finding the Fourth Proportional to 10,959.96, 15,124.68 and 6,244.14

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Solution

The fourth proportional to 10,959.96, 15,124.68 and 6,244.14 is: 8,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.96 : 15,124.68 = 6,244.14 : x
  2. Step 2: Convert to fraction form
    10,959.96/15,124.68 = 6,244.14/x
  3. Step 3: Cross multiply
    10,959.96x = 15,124.68 × 6,244.14
  4. Step 4: Simplify right side
    10,959.96x = 94,440,619.38
  5. Step 5: Solve for x
    x = 94,440,619.38/10,959.96
  6. Step 6: Final answer
    x = 8,616.88

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Why These Related Problems?

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