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Finding the Fourth Proportional to 11,809.75, 16,297.47 and 6,432.20

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Solution

The fourth proportional to 11,809.75, 16,297.47 and 6,432.20 is: 8,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.75 : 16,297.47 = 6,432.20 : x
  2. Step 2: Convert to fraction form
    11,809.75/16,297.47 = 6,432.20/x
  3. Step 3: Cross multiply
    11,809.75x = 16,297.47 × 6,432.20
  4. Step 4: Simplify right side
    11,809.75x = 104,828,505.05
  5. Step 5: Solve for x
    x = 104,828,505.05/11,809.75
  6. Step 6: Final answer
    x = 8,876.44

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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.