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Finding the Fourth Proportional to 6,257.48, 8,615.66 and 5,311.31

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Solution

The fourth proportional to 6,257.48, 8,615.66 and 5,311.31 is: 7,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.48 : 8,615.66 = 5,311.31 : x
  2. Step 2: Convert to fraction form
    6,257.48/8,615.66 = 5,311.31/x
  3. Step 3: Cross multiply
    6,257.48x = 8,615.66 × 5,311.31
  4. Step 4: Simplify right side
    6,257.48x = 45,760,371.48
  5. Step 5: Solve for x
    x = 45,760,371.48/6,257.48
  6. Step 6: Final answer
    x = 7,312.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.