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Finding the Fourth Proportional to 11,199.84, 15,456.40 and 6,231.84

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Solution

The fourth proportional to 11,199.84, 15,456.40 and 6,231.84 is: 8,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.84 : 15,456.40 = 6,231.84 : x
  2. Step 2: Convert to fraction form
    11,199.84/15,456.40 = 6,231.84/x
  3. Step 3: Cross multiply
    11,199.84x = 15,456.40 × 6,231.84
  4. Step 4: Simplify right side
    11,199.84x = 96,321,811.78
  5. Step 5: Solve for x
    x = 96,321,811.78/11,199.84
  6. Step 6: Final answer
    x = 8,600.28

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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.