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Finding the Fourth Proportional to 11,097.75, 15,314.90 and 6,129.75

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Solution

The fourth proportional to 11,097.75, 15,314.90 and 6,129.75 is: 8,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.75 : 15,314.90 = 6,129.75 : x
  2. Step 2: Convert to fraction form
    11,097.75/15,314.90 = 6,129.75/x
  3. Step 3: Cross multiply
    11,097.75x = 15,314.90 × 6,129.75
  4. Step 4: Simplify right side
    11,097.75x = 93,876,508.28
  5. Step 5: Solve for x
    x = 93,876,508.28/11,097.75
  6. Step 6: Final answer
    x = 8,459.06

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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.