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Finding the Fourth Proportional to 8,535.35, 12,803.42 and 4,147.58

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Solution

The fourth proportional to 8,535.35, 12,803.42 and 4,147.58 is: 6,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.35 : 12,803.42 = 4,147.58 : x
  2. Step 2: Convert to fraction form
    8,535.35/12,803.42 = 4,147.58/x
  3. Step 3: Cross multiply
    8,535.35x = 12,803.42 × 4,147.58
  4. Step 4: Simplify right side
    8,535.35x = 53,103,155.08
  5. Step 5: Solve for x
    x = 53,103,155.08/8,535.35
  6. Step 6: Final answer
    x = 6,221.56

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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.