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Finding the Fourth Proportional to 11,166.57, 16,749.86 and 5,006.25

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Solution

The fourth proportional to 11,166.57, 16,749.86 and 5,006.25 is: 7,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.57 : 16,749.86 = 5,006.25 : x
  2. Step 2: Convert to fraction form
    11,166.57/16,749.86 = 5,006.25/x
  3. Step 3: Cross multiply
    11,166.57x = 16,749.86 × 5,006.25
  4. Step 4: Simplify right side
    11,166.57x = 83,853,961.59
  5. Step 5: Solve for x
    x = 83,853,961.59/11,166.57
  6. Step 6: Final answer
    x = 7,509.38

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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.