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Finding the Fourth Proportional to 8,535.20, 12,801.84 and 3,339.68

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Solution

The fourth proportional to 8,535.20, 12,801.84 and 3,339.68 is: 5,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.20 : 12,801.84 = 3,339.68 : x
  2. Step 2: Convert to fraction form
    8,535.20/12,801.84 = 3,339.68/x
  3. Step 3: Cross multiply
    8,535.20x = 12,801.84 × 3,339.68
  4. Step 4: Simplify right side
    8,535.20x = 42,754,049.01
  5. Step 5: Solve for x
    x = 42,754,049.01/8,535.20
  6. Step 6: Final answer
    x = 5,009.14

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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.