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Finding the Fourth Proportional to 27,261.44, 40,897.92 and 8,792

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Solution

The fourth proportional to 27,261.44, 40,897.92 and 8,792 is: 13,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261.44 : 40,897.92 = 8,792 : x
  2. Step 2: Convert to fraction form
    27,261.44/40,897.92 = 8,792/x
  3. Step 3: Cross multiply
    27,261.44x = 40,897.92 × 8,792
  4. Step 4: Simplify right side
    27,261.44x = 359,574,512.64
  5. Step 5: Solve for x
    x = 359,574,512.64/27,261.44
  6. Step 6: Final answer
    x = 13,189.86

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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.