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Finding the Fourth Proportional to 10,882.89, 16,301.30 and 9,029.61

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Solution

The fourth proportional to 10,882.89, 16,301.30 and 9,029.61 is: 13,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.89 : 16,301.30 = 9,029.61 : x
  2. Step 2: Convert to fraction form
    10,882.89/16,301.30 = 9,029.61/x
  3. Step 3: Cross multiply
    10,882.89x = 16,301.30 × 9,029.61
  4. Step 4: Simplify right side
    10,882.89x = 147,194,336.34
  5. Step 5: Solve for x
    x = 147,194,336.34/10,882.89
  6. Step 6: Final answer
    x = 13,525.30

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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.