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Finding the Fourth Proportional to 11,006.72, 16,499.22 and 7,046.70

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Solution

The fourth proportional to 11,006.72, 16,499.22 and 7,046.70 is: 10,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.72 : 16,499.22 = 7,046.70 : x
  2. Step 2: Convert to fraction form
    11,006.72/16,499.22 = 7,046.70/x
  3. Step 3: Cross multiply
    11,006.72x = 16,499.22 × 7,046.70
  4. Step 4: Simplify right side
    11,006.72x = 116,265,058.08
  5. Step 5: Solve for x
    x = 116,265,058.08/11,006.72
  6. Step 6: Final answer
    x = 10,563.10

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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.