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Finding the Fourth Proportional to 11,894.82, 16,415.30 and 6,589.52

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Solution

The fourth proportional to 11,894.82, 16,415.30 and 6,589.52 is: 9,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.82 : 16,415.30 = 6,589.52 : x
  2. Step 2: Convert to fraction form
    11,894.82/16,415.30 = 6,589.52/x
  3. Step 3: Cross multiply
    11,894.82x = 16,415.30 × 6,589.52
  4. Step 4: Simplify right side
    11,894.82x = 108,168,947.66
  5. Step 5: Solve for x
    x = 108,168,947.66/11,894.82
  6. Step 6: Final answer
    x = 9,093.79

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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.