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Finding the Fourth Proportional to 8,125.79, 12,184.32 and 4,175.42

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Solution

The fourth proportional to 8,125.79, 12,184.32 and 4,175.42 is: 6,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.79 : 12,184.32 = 4,175.42 : x
  2. Step 2: Convert to fraction form
    8,125.79/12,184.32 = 4,175.42/x
  3. Step 3: Cross multiply
    8,125.79x = 12,184.32 × 4,175.42
  4. Step 4: Simplify right side
    8,125.79x = 50,874,653.41
  5. Step 5: Solve for x
    x = 50,874,653.41/8,125.79
  6. Step 6: Final answer
    x = 6,260.89

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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.