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Finding the Fourth Proportional to 8,218.40, 12,323.52 and 3,537.92

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Solution

The fourth proportional to 8,218.40, 12,323.52 and 3,537.92 is: 5,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.40 : 12,323.52 = 3,537.92 : x
  2. Step 2: Convert to fraction form
    8,218.40/12,323.52 = 3,537.92/x
  3. Step 3: Cross multiply
    8,218.40x = 12,323.52 × 3,537.92
  4. Step 4: Simplify right side
    8,218.40x = 43,599,627.88
  5. Step 5: Solve for x
    x = 43,599,627.88/8,218.40
  6. Step 6: Final answer
    x = 5,305.12

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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.