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Finding the Fourth Proportional to 10,982.39, 15,154.74 and 6,505.38

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Solution

The fourth proportional to 10,982.39, 15,154.74 and 6,505.38 is: 8,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.39 : 15,154.74 = 6,505.38 : x
  2. Step 2: Convert to fraction form
    10,982.39/15,154.74 = 6,505.38/x
  3. Step 3: Cross multiply
    10,982.39x = 15,154.74 × 6,505.38
  4. Step 4: Simplify right side
    10,982.39x = 98,587,342.50
  5. Step 5: Solve for x
    x = 98,587,342.50/10,982.39
  6. Step 6: Final answer
    x = 8,976.86

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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.