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Finding the Fourth Proportional to 8,472.24, 12,715.76 and 3,281.76

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Solution

The fourth proportional to 8,472.24, 12,715.76 and 3,281.76 is: 4,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 12,715.76 = 3,281.76 : x
  2. Step 2: Convert to fraction form
    8,472.24/12,715.76 = 3,281.76/x
  3. Step 3: Cross multiply
    8,472.24x = 12,715.76 × 3,281.76
  4. Step 4: Simplify right side
    8,472.24x = 41,730,072.54
  5. Step 5: Solve for x
    x = 41,730,072.54/8,472.24
  6. Step 6: Final answer
    x = 4,925.51

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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.