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Finding the Fourth Proportional to 11,082.96, 15,295.92 and 6,367.08

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Solution

The fourth proportional to 11,082.96, 15,295.92 and 6,367.08 is: 8,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.96 : 15,295.92 = 6,367.08 : x
  2. Step 2: Convert to fraction form
    11,082.96/15,295.92 = 6,367.08/x
  3. Step 3: Cross multiply
    11,082.96x = 15,295.92 × 6,367.08
  4. Step 4: Simplify right side
    11,082.96x = 97,390,346.31
  5. Step 5: Solve for x
    x = 97,390,346.31/11,082.96
  6. Step 6: Final answer
    x = 8,787.39

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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.