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Finding the Fourth Proportional to 10,984.38, 15,157.82 and 6,508.56

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Solution

The fourth proportional to 10,984.38, 15,157.82 and 6,508.56 is: 8,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.38 : 15,157.82 = 6,508.56 : x
  2. Step 2: Convert to fraction form
    10,984.38/15,157.82 = 6,508.56/x
  3. Step 3: Cross multiply
    10,984.38x = 15,157.82 × 6,508.56
  4. Step 4: Simplify right side
    10,984.38x = 98,655,580.94
  5. Step 5: Solve for x
    x = 98,655,580.94/10,984.38
  6. Step 6: Final answer
    x = 8,981.44

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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.