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Finding the Fourth Proportional to 8,482.40, 12,719.28 and 3,289.76

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Solution

The fourth proportional to 8,482.40, 12,719.28 and 3,289.76 is: 4,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.40 : 12,719.28 = 3,289.76 : x
  2. Step 2: Convert to fraction form
    8,482.40/12,719.28 = 3,289.76/x
  3. Step 3: Cross multiply
    8,482.40x = 12,719.28 × 3,289.76
  4. Step 4: Simplify right side
    8,482.40x = 41,843,378.57
  5. Step 5: Solve for x
    x = 41,843,378.57/8,482.40
  6. Step 6: Final answer
    x = 4,932.96

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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.