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Finding the Fourth Proportional to 8,424.16, 12,639.87 and 3,494.91

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Solution

The fourth proportional to 8,424.16, 12,639.87 and 3,494.91 is: 5,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.16 : 12,639.87 = 3,494.91 : x
  2. Step 2: Convert to fraction form
    8,424.16/12,639.87 = 3,494.91/x
  3. Step 3: Cross multiply
    8,424.16x = 12,639.87 × 3,494.91
  4. Step 4: Simplify right side
    8,424.16x = 44,175,208.06
  5. Step 5: Solve for x
    x = 44,175,208.06/8,424.16
  6. Step 6: Final answer
    x = 5,243.87

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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.