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Finding the Fourth Proportional to 11,592.97, 17,389.28 and 8,031.80

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Solution

The fourth proportional to 11,592.97, 17,389.28 and 8,031.80 is: 12,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.97 : 17,389.28 = 8,031.80 : x
  2. Step 2: Convert to fraction form
    11,592.97/17,389.28 = 8,031.80/x
  3. Step 3: Cross multiply
    11,592.97x = 17,389.28 × 8,031.80
  4. Step 4: Simplify right side
    11,592.97x = 139,667,282.66
  5. Step 5: Solve for x
    x = 139,667,282.66/11,592.97
  6. Step 6: Final answer
    x = 12,047.59

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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.