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Finding the Fourth Proportional to 11,097.78, 15,314.97 and 6,381.75

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Solution

The fourth proportional to 11,097.78, 15,314.97 and 6,381.75 is: 8,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.78 : 15,314.97 = 6,381.75 : x
  2. Step 2: Convert to fraction form
    11,097.78/15,314.97 = 6,381.75/x
  3. Step 3: Cross multiply
    11,097.78x = 15,314.97 × 6,381.75
  4. Step 4: Simplify right side
    11,097.78x = 97,736,309.80
  5. Step 5: Solve for x
    x = 97,736,309.80/11,097.78
  6. Step 6: Final answer
    x = 8,806.83

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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.