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Finding the Fourth Proportional to 11,006.70, 16,461.45 and 9,257.10

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Solution

The fourth proportional to 11,006.70, 16,461.45 and 9,257.10 is: 13,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.70 : 16,461.45 = 9,257.10 : x
  2. Step 2: Convert to fraction form
    11,006.70/16,461.45 = 9,257.10/x
  3. Step 3: Cross multiply
    11,006.70x = 16,461.45 × 9,257.10
  4. Step 4: Simplify right side
    11,006.70x = 152,385,288.80
  5. Step 5: Solve for x
    x = 152,385,288.80/11,006.70
  6. Step 6: Final answer
    x = 13,844.78

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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.