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Finding the Fourth Proportional to 8,474.40, 12,707.28 and 3,281.76

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Solution

The fourth proportional to 8,474.40, 12,707.28 and 3,281.76 is: 4,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.40 : 12,707.28 = 3,281.76 : x
  2. Step 2: Convert to fraction form
    8,474.40/12,707.28 = 3,281.76/x
  3. Step 3: Cross multiply
    8,474.40x = 12,707.28 × 3,281.76
  4. Step 4: Simplify right side
    8,474.40x = 41,702,243.21
  5. Step 5: Solve for x
    x = 41,702,243.21/8,474.40
  6. Step 6: Final answer
    x = 4,920.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.