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Finding the Fourth Proportional to 8,542.58, 12,815.86 and 3,348.50

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Solution

The fourth proportional to 8,542.58, 12,815.86 and 3,348.50 is: 5,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.58 : 12,815.86 = 3,348.50 : x
  2. Step 2: Convert to fraction form
    8,542.58/12,815.86 = 3,348.50/x
  3. Step 3: Cross multiply
    8,542.58x = 12,815.86 × 3,348.50
  4. Step 4: Simplify right side
    8,542.58x = 42,913,907.21
  5. Step 5: Solve for x
    x = 42,913,907.21/8,542.58
  6. Step 6: Final answer
    x = 5,023.53

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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.