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Finding the Fourth Proportional to 7,188.52, 10,782.78 and 2,258.58

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Solution

The fourth proportional to 7,188.52, 10,782.78 and 2,258.58 is: 3,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.52 : 10,782.78 = 2,258.58 : x
  2. Step 2: Convert to fraction form
    7,188.52/10,782.78 = 2,258.58/x
  3. Step 3: Cross multiply
    7,188.52x = 10,782.78 × 2,258.58
  4. Step 4: Simplify right side
    7,188.52x = 24,353,771.25
  5. Step 5: Solve for x
    x = 24,353,771.25/7,188.52
  6. Step 6: Final answer
    x = 3,387.87

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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.