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Finding the Fourth Proportional to 8,364.35, 12,542.07 and 2,815.85

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Solution

The fourth proportional to 8,364.35, 12,542.07 and 2,815.85 is: 4,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.35 : 12,542.07 = 2,815.85 : x
  2. Step 2: Convert to fraction form
    8,364.35/12,542.07 = 2,815.85/x
  3. Step 3: Cross multiply
    8,364.35x = 12,542.07 × 2,815.85
  4. Step 4: Simplify right side
    8,364.35x = 35,316,587.81
  5. Step 5: Solve for x
    x = 35,316,587.81/8,364.35
  6. Step 6: Final answer
    x = 4,222.28

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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.