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Finding the Fourth Proportional to 8,348.24, 12,522.36 and 3,728

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Solution

The fourth proportional to 8,348.24, 12,522.36 and 3,728 is: 5,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.24 : 12,522.36 = 3,728 : x
  2. Step 2: Convert to fraction form
    8,348.24/12,522.36 = 3,728/x
  3. Step 3: Cross multiply
    8,348.24x = 12,522.36 × 3,728
  4. Step 4: Simplify right side
    8,348.24x = 46,683,358.08
  5. Step 5: Solve for x
    x = 46,683,358.08/8,348.24
  6. Step 6: Final answer
    x = 5,592.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.