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Finding the Fourth Proportional to 8,141.10, 10,999.13 and 8,141.10

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Solution

The fourth proportional to 8,141.10, 10,999.13 and 8,141.10 is: 10,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.10 : 10,999.13 = 8,141.10 : x
  2. Step 2: Convert to fraction form
    8,141.10/10,999.13 = 8,141.10/x
  3. Step 3: Cross multiply
    8,141.10x = 10,999.13 × 8,141.10
  4. Step 4: Simplify right side
    8,141.10x = 89,544,976.54
  5. Step 5: Solve for x
    x = 89,544,976.54/8,141.10
  6. Step 6: Final answer
    x = 10,999.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.