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Finding the Fourth Proportional to 8,441.46, 12,663.90 and 3,175.74

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Solution

The fourth proportional to 8,441.46, 12,663.90 and 3,175.74 is: 4,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.46 : 12,663.90 = 3,175.74 : x
  2. Step 2: Convert to fraction form
    8,441.46/12,663.90 = 3,175.74/x
  3. Step 3: Cross multiply
    8,441.46x = 12,663.90 × 3,175.74
  4. Step 4: Simplify right side
    8,441.46x = 40,217,253.79
  5. Step 5: Solve for x
    x = 40,217,253.79/8,441.46
  6. Step 6: Final answer
    x = 4,764.25

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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.