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Finding the Fourth Proportional to 7,452.68, 11,177.16 and 2,258.48

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Solution

The fourth proportional to 7,452.68, 11,177.16 and 2,258.48 is: 3,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.68 : 11,177.16 = 2,258.48 : x
  2. Step 2: Convert to fraction form
    7,452.68/11,177.16 = 2,258.48/x
  3. Step 3: Cross multiply
    7,452.68x = 11,177.16 × 2,258.48
  4. Step 4: Simplify right side
    7,452.68x = 25,243,392.32
  5. Step 5: Solve for x
    x = 25,243,392.32/7,452.68
  6. Step 6: Final answer
    x = 3,387.16

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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.