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Finding the Fourth Proportional to 11,082, 15,294.24 and 6,114

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Solution

The fourth proportional to 11,082, 15,294.24 and 6,114 is: 8,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 15,294.24 = 6,114 : x
  2. Step 2: Convert to fraction form
    11,082/15,294.24 = 6,114/x
  3. Step 3: Cross multiply
    11,082x = 15,294.24 × 6,114
  4. Step 4: Simplify right side
    11,082x = 93,508,983.36
  5. Step 5: Solve for x
    x = 93,508,983.36/11,082
  6. Step 6: Final answer
    x = 8,437.92

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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.