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Finding the Fourth Proportional to 12,792.40, 17,650.44 and 7,203.40

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Solution

The fourth proportional to 12,792.40, 17,650.44 and 7,203.40 is: 9,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.40 : 17,650.44 = 7,203.40 : x
  2. Step 2: Convert to fraction form
    12,792.40/17,650.44 = 7,203.40/x
  3. Step 3: Cross multiply
    12,792.40x = 17,650.44 × 7,203.40
  4. Step 4: Simplify right side
    12,792.40x = 127,143,179.50
  5. Step 5: Solve for x
    x = 127,143,179.50/12,792.40
  6. Step 6: Final answer
    x = 9,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.