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Finding the Fourth Proportional to 8,315.24, 12,472.62 and 2,159.24

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Solution

The fourth proportional to 8,315.24, 12,472.62 and 2,159.24 is: 3,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.24 : 12,472.62 = 2,159.24 : x
  2. Step 2: Convert to fraction form
    8,315.24/12,472.62 = 2,159.24/x
  3. Step 3: Cross multiply
    8,315.24x = 12,472.62 × 2,159.24
  4. Step 4: Simplify right side
    8,315.24x = 26,931,380.01
  5. Step 5: Solve for x
    x = 26,931,380.01/8,315.24
  6. Step 6: Final answer
    x = 3,238.80

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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.