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Finding the Fourth Proportional to 11,878.32, 17,808.82 and 7,722.48

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Solution

The fourth proportional to 11,878.32, 17,808.82 and 7,722.48 is: 11,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.32 : 17,808.82 = 7,722.48 : x
  2. Step 2: Convert to fraction form
    11,878.32/17,808.82 = 7,722.48/x
  3. Step 3: Cross multiply
    11,878.32x = 17,808.82 × 7,722.48
  4. Step 4: Simplify right side
    11,878.32x = 137,528,256.27
  5. Step 5: Solve for x
    x = 137,528,256.27/11,878.32
  6. Step 6: Final answer
    x = 11,578.09

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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.