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Finding the Fourth Proportional to 7,453.92, 11,178.96 and 2,258.40

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Solution

The fourth proportional to 7,453.92, 11,178.96 and 2,258.40 is: 3,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.92 : 11,178.96 = 2,258.40 : x
  2. Step 2: Convert to fraction form
    7,453.92/11,178.96 = 2,258.40/x
  3. Step 3: Cross multiply
    7,453.92x = 11,178.96 × 2,258.40
  4. Step 4: Simplify right side
    7,453.92x = 25,246,563.26
  5. Step 5: Solve for x
    x = 25,246,563.26/7,453.92
  6. Step 6: Final answer
    x = 3,387.02

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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.