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Finding the Fourth Proportional to 7,452.61, 11,180 and 2,258.89

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Solution

The fourth proportional to 7,452.61, 11,180 and 2,258.89 is: 3,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.61 : 11,180 = 2,258.89 : x
  2. Step 2: Convert to fraction form
    7,452.61/11,180 = 2,258.89/x
  3. Step 3: Cross multiply
    7,452.61x = 11,180 × 2,258.89
  4. Step 4: Simplify right side
    7,452.61x = 25,254,390.20
  5. Step 5: Solve for x
    x = 25,254,390.20/7,452.61
  6. Step 6: Final answer
    x = 3,388.66

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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.