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Finding the Fourth Proportional to 11,388.80, 15,716.64 and 6,353.60

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Solution

The fourth proportional to 11,388.80, 15,716.64 and 6,353.60 is: 8,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.80 : 15,716.64 = 6,353.60 : x
  2. Step 2: Convert to fraction form
    11,388.80/15,716.64 = 6,353.60/x
  3. Step 3: Cross multiply
    11,388.80x = 15,716.64 × 6,353.60
  4. Step 4: Simplify right side
    11,388.80x = 99,857,243.90
  5. Step 5: Solve for x
    x = 99,857,243.90/11,388.80
  6. Step 6: Final answer
    x = 8,768.02

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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.