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Finding the Fourth Proportional to 8,382.12, 11,557.99 and 5,393.82

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Solution

The fourth proportional to 8,382.12, 11,557.99 and 5,393.82 is: 7,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.12 : 11,557.99 = 5,393.82 : x
  2. Step 2: Convert to fraction form
    8,382.12/11,557.99 = 5,393.82/x
  3. Step 3: Cross multiply
    8,382.12x = 11,557.99 × 5,393.82
  4. Step 4: Simplify right side
    8,382.12x = 62,341,717.62
  5. Step 5: Solve for x
    x = 62,341,717.62/8,382.12
  6. Step 6: Final answer
    x = 7,437.46

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Why These Related Problems?

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