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Finding the Fourth Proportional to 10,082.39, 13,911.54 and 6,853.32

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Solution

The fourth proportional to 10,082.39, 13,911.54 and 6,853.32 is: 9,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.39 : 13,911.54 = 6,853.32 : x
  2. Step 2: Convert to fraction form
    10,082.39/13,911.54 = 6,853.32/x
  3. Step 3: Cross multiply
    10,082.39x = 13,911.54 × 6,853.32
  4. Step 4: Simplify right side
    10,082.39x = 95,340,235.31
  5. Step 5: Solve for x
    x = 95,340,235.31/10,082.39
  6. Step 6: Final answer
    x = 9,456.12

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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.