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Finding the Fourth Proportional to 8,240.49, 12,358.16 and 2,974.82

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Solution

The fourth proportional to 8,240.49, 12,358.16 and 2,974.82 is: 4,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.49 : 12,358.16 = 2,974.82 : x
  2. Step 2: Convert to fraction form
    8,240.49/12,358.16 = 2,974.82/x
  3. Step 3: Cross multiply
    8,240.49x = 12,358.16 × 2,974.82
  4. Step 4: Simplify right side
    8,240.49x = 36,763,322.27
  5. Step 5: Solve for x
    x = 36,763,322.27/8,240.49
  6. Step 6: Final answer
    x = 4,461.30

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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.