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Finding the Fourth Proportional to 7,427.64, 11,139.24 and 2,496.24

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Solution

The fourth proportional to 7,427.64, 11,139.24 and 2,496.24 is: 3,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.64 : 11,139.24 = 2,496.24 : x
  2. Step 2: Convert to fraction form
    7,427.64/11,139.24 = 2,496.24/x
  3. Step 3: Cross multiply
    7,427.64x = 11,139.24 × 2,496.24
  4. Step 4: Simplify right side
    7,427.64x = 27,806,216.46
  5. Step 5: Solve for x
    x = 27,806,216.46/7,427.64
  6. Step 6: Final answer
    x = 3,743.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.