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Finding the Fourth Proportional to 11,057.64, 15,259.38 and 6,581.34

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Solution

The fourth proportional to 11,057.64, 15,259.38 and 6,581.34 is: 9,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.64 : 15,259.38 = 6,581.34 : x
  2. Step 2: Convert to fraction form
    11,057.64/15,259.38 = 6,581.34/x
  3. Step 3: Cross multiply
    11,057.64x = 15,259.38 × 6,581.34
  4. Step 4: Simplify right side
    11,057.64x = 100,427,167.97
  5. Step 5: Solve for x
    x = 100,427,167.97/11,057.64
  6. Step 6: Final answer
    x = 9,082.15

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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.