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Finding the Fourth Proportional to 11,082.87, 15,300 and 8,559.32

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Solution

The fourth proportional to 11,082.87, 15,300 and 8,559.32 is: 11,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.87 : 15,300 = 8,559.32 : x
  2. Step 2: Convert to fraction form
    11,082.87/15,300 = 8,559.32/x
  3. Step 3: Cross multiply
    11,082.87x = 15,300 × 8,559.32
  4. Step 4: Simplify right side
    11,082.87x = 130,957,519.50
  5. Step 5: Solve for x
    x = 130,957,519.50/11,082.87
  6. Step 6: Final answer
    x = 11,816.21

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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.