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Finding the Fourth Proportional to 11,006.78, 16,509 and 3,109.10

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Solution

The fourth proportional to 11,006.78, 16,509 and 3,109.10 is: 4,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.78 : 16,509 = 3,109.10 : x
  2. Step 2: Convert to fraction form
    11,006.78/16,509 = 3,109.10/x
  3. Step 3: Cross multiply
    11,006.78x = 16,509 × 3,109.10
  4. Step 4: Simplify right side
    11,006.78x = 51,328,131.90
  5. Step 5: Solve for x
    x = 51,328,131.90/11,006.78
  6. Step 6: Final answer
    x = 4,663.32

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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.