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Finding the Fourth Proportional to 8,575.70, 12,863.55 and 4,201.70

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Solution

The fourth proportional to 8,575.70, 12,863.55 and 4,201.70 is: 6,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.70 : 12,863.55 = 4,201.70 : x
  2. Step 2: Convert to fraction form
    8,575.70/12,863.55 = 4,201.70/x
  3. Step 3: Cross multiply
    8,575.70x = 12,863.55 × 4,201.70
  4. Step 4: Simplify right side
    8,575.70x = 54,048,778.04
  5. Step 5: Solve for x
    x = 54,048,778.04/8,575.70
  6. Step 6: Final answer
    x = 6,302.55

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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.