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Finding the Fourth Proportional to 11,876.68, 17,829.60 and 6,948.64

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Solution

The fourth proportional to 11,876.68, 17,829.60 and 6,948.64 is: 10,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.68 : 17,829.60 = 6,948.64 : x
  2. Step 2: Convert to fraction form
    11,876.68/17,829.60 = 6,948.64/x
  3. Step 3: Cross multiply
    11,876.68x = 17,829.60 × 6,948.64
  4. Step 4: Simplify right side
    11,876.68x = 123,891,471.74
  5. Step 5: Solve for x
    x = 123,891,471.74/11,876.68
  6. Step 6: Final answer
    x = 10,431.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.