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Finding the Fourth Proportional to 11,076.70, 16,615.05 and 7,966.30

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Solution

The fourth proportional to 11,076.70, 16,615.05 and 7,966.30 is: 11,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.70 : 16,615.05 = 7,966.30 : x
  2. Step 2: Convert to fraction form
    11,076.70/16,615.05 = 7,966.30/x
  3. Step 3: Cross multiply
    11,076.70x = 16,615.05 × 7,966.30
  4. Step 4: Simplify right side
    11,076.70x = 132,360,472.82
  5. Step 5: Solve for x
    x = 132,360,472.82/11,076.70
  6. Step 6: Final answer
    x = 11,949.45

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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.