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Finding the Fourth Proportional to 10,889.89, 16,334.85 and 7,215.46

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Solution

The fourth proportional to 10,889.89, 16,334.85 and 7,215.46 is: 10,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.89 : 16,334.85 = 7,215.46 : x
  2. Step 2: Convert to fraction form
    10,889.89/16,334.85 = 7,215.46/x
  3. Step 3: Cross multiply
    10,889.89x = 16,334.85 × 7,215.46
  4. Step 4: Simplify right side
    10,889.89x = 117,863,456.78
  5. Step 5: Solve for x
    x = 117,863,456.78/10,889.89
  6. Step 6: Final answer
    x = 10,823.20

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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.