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Finding the Fourth Proportional to 7,427.68, 11,141.12 and 2,497.44

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Solution

The fourth proportional to 7,427.68, 11,141.12 and 2,497.44 is: 3,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.68 : 11,141.12 = 2,497.44 : x
  2. Step 2: Convert to fraction form
    7,427.68/11,141.12 = 2,497.44/x
  3. Step 3: Cross multiply
    7,427.68x = 11,141.12 × 2,497.44
  4. Step 4: Simplify right side
    7,427.68x = 27,824,278.73
  5. Step 5: Solve for x
    x = 27,824,278.73/7,427.68
  6. Step 6: Final answer
    x = 3,746.03

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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.