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Finding the Fourth Proportional to 7,188.27, 10,782.40 and 2,258.34

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Solution

The fourth proportional to 7,188.27, 10,782.40 and 2,258.34 is: 3,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.27 : 10,782.40 = 2,258.34 : x
  2. Step 2: Convert to fraction form
    7,188.27/10,782.40 = 2,258.34/x
  3. Step 3: Cross multiply
    7,188.27x = 10,782.40 × 2,258.34
  4. Step 4: Simplify right side
    7,188.27x = 24,350,325.22
  5. Step 5: Solve for x
    x = 24,350,325.22/7,188.27
  6. Step 6: Final answer
    x = 3,387.51

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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.