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Finding the Fourth Proportional to 12,792, 19,188 and 3,558.24

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Solution

The fourth proportional to 12,792, 19,188 and 3,558.24 is: 5,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792 : 19,188 = 3,558.24 : x
  2. Step 2: Convert to fraction form
    12,792/19,188 = 3,558.24/x
  3. Step 3: Cross multiply
    12,792x = 19,188 × 3,558.24
  4. Step 4: Simplify right side
    12,792x = 68,275,509.12
  5. Step 5: Solve for x
    x = 68,275,509.12/12,792
  6. Step 6: Final answer
    x = 5,337.36

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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.