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Finding the Fourth Proportional to 11,082.24, 15,292.80 and 6,114.24

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Solution

The fourth proportional to 11,082.24, 15,292.80 and 6,114.24 is: 8,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.24 : 15,292.80 = 6,114.24 : x
  2. Step 2: Convert to fraction form
    11,082.24/15,292.80 = 6,114.24/x
  3. Step 3: Cross multiply
    11,082.24x = 15,292.80 × 6,114.24
  4. Step 4: Simplify right side
    11,082.24x = 93,503,849.47
  5. Step 5: Solve for x
    x = 93,503,849.47/11,082.24
  6. Step 6: Final answer
    x = 8,437.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.