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Finding the Fourth Proportional to 8,333.24, 11,497.82 and 5,102.15

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Solution

The fourth proportional to 8,333.24, 11,497.82 and 5,102.15 is: 7,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.24 : 11,497.82 = 5,102.15 : x
  2. Step 2: Convert to fraction form
    8,333.24/11,497.82 = 5,102.15/x
  3. Step 3: Cross multiply
    8,333.24x = 11,497.82 × 5,102.15
  4. Step 4: Simplify right side
    8,333.24x = 58,663,519.31
  5. Step 5: Solve for x
    x = 58,663,519.31/8,333.24
  6. Step 6: Final answer
    x = 7,039.71

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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.