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Finding the Fourth Proportional to 11,589.11, 15,994.97 and 6,554.89

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Solution

The fourth proportional to 11,589.11, 15,994.97 and 6,554.89 is: 9,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.11 : 15,994.97 = 6,554.89 : x
  2. Step 2: Convert to fraction form
    11,589.11/15,994.97 = 6,554.89/x
  3. Step 3: Cross multiply
    11,589.11x = 15,994.97 × 6,554.89
  4. Step 4: Simplify right side
    11,589.11x = 104,845,280.70
  5. Step 5: Solve for x
    x = 104,845,280.70/11,589.11
  6. Step 6: Final answer
    x = 9,046.88

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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.