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Finding the Fourth Proportional to 11,589.12, 15,992.83 and 6,283.82

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Solution

The fourth proportional to 11,589.12, 15,992.83 and 6,283.82 is: 8,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.12 : 15,992.83 = 6,283.82 : x
  2. Step 2: Convert to fraction form
    11,589.12/15,992.83 = 6,283.82/x
  3. Step 3: Cross multiply
    11,589.12x = 15,992.83 × 6,283.82
  4. Step 4: Simplify right side
    11,589.12x = 100,496,089.28
  5. Step 5: Solve for x
    x = 100,496,089.28/11,589.12
  6. Step 6: Final answer
    x = 8,671.59

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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.