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Finding the Fourth Proportional to 11,894.52, 16,414.44 and 6,589.28

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Solution

The fourth proportional to 11,894.52, 16,414.44 and 6,589.28 is: 9,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.52 : 16,414.44 = 6,589.28 : x
  2. Step 2: Convert to fraction form
    11,894.52/16,414.44 = 6,589.28/x
  3. Step 3: Cross multiply
    11,894.52x = 16,414.44 × 6,589.28
  4. Step 4: Simplify right side
    11,894.52x = 108,159,341.20
  5. Step 5: Solve for x
    x = 108,159,341.20/11,894.52
  6. Step 6: Final answer
    x = 9,093.21

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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.