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Finding the Fourth Proportional to 11,424.12, 15,765.63 and 6,388.17

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Solution

The fourth proportional to 11,424.12, 15,765.63 and 6,388.17 is: 8,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.12 : 15,765.63 = 6,388.17 : x
  2. Step 2: Convert to fraction form
    11,424.12/15,765.63 = 6,388.17/x
  3. Step 3: Cross multiply
    11,424.12x = 15,765.63 × 6,388.17
  4. Step 4: Simplify right side
    11,424.12x = 100,713,524.60
  5. Step 5: Solve for x
    x = 100,713,524.60/11,424.12
  6. Step 6: Final answer
    x = 8,815.87

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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.