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Finding the Fourth Proportional to 8,315.28, 12,462.51 and 4,156.44

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Solution

The fourth proportional to 8,315.28, 12,462.51 and 4,156.44 is: 6,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.28 : 12,462.51 = 4,156.44 : x
  2. Step 2: Convert to fraction form
    8,315.28/12,462.51 = 4,156.44/x
  3. Step 3: Cross multiply
    8,315.28x = 12,462.51 × 4,156.44
  4. Step 4: Simplify right side
    8,315.28x = 51,799,675.06
  5. Step 5: Solve for x
    x = 51,799,675.06/8,315.28
  6. Step 6: Final answer
    x = 6,229.46

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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.