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Finding the Fourth Proportional to 8,024.67, 11,063.93 and 5,187.24

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Solution

The fourth proportional to 8,024.67, 11,063.93 and 5,187.24 is: 7,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.67 : 11,063.93 = 5,187.24 : x
  2. Step 2: Convert to fraction form
    8,024.67/11,063.93 = 5,187.24/x
  3. Step 3: Cross multiply
    8,024.67x = 11,063.93 × 5,187.24
  4. Step 4: Simplify right side
    8,024.67x = 57,391,234.32
  5. Step 5: Solve for x
    x = 57,391,234.32/8,024.67
  6. Step 6: Final answer
    x = 7,151.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.