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Finding the Fourth Proportional to 11,003.86, 16,513.98 and 5,164.57

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Solution

The fourth proportional to 11,003.86, 16,513.98 and 5,164.57 is: 7,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.86 : 16,513.98 = 5,164.57 : x
  2. Step 2: Convert to fraction form
    11,003.86/16,513.98 = 5,164.57/x
  3. Step 3: Cross multiply
    11,003.86x = 16,513.98 × 5,164.57
  4. Step 4: Simplify right side
    11,003.86x = 85,287,605.69
  5. Step 5: Solve for x
    x = 85,287,605.69/11,003.86
  6. Step 6: Final answer
    x = 7,750.70

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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.