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Finding the Fourth Proportional to 8,431.10, 12,648.02 and 3,166.52

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Solution

The fourth proportional to 8,431.10, 12,648.02 and 3,166.52 is: 4,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.10 : 12,648.02 = 3,166.52 : x
  2. Step 2: Convert to fraction form
    8,431.10/12,648.02 = 3,166.52/x
  3. Step 3: Cross multiply
    8,431.10x = 12,648.02 × 3,166.52
  4. Step 4: Simplify right side
    8,431.10x = 40,050,247.83
  5. Step 5: Solve for x
    x = 40,050,247.83/8,431.10
  6. Step 6: Final answer
    x = 4,750.30

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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.