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Finding the Fourth Proportional to 11,097.14, 16,652.28 and 4,436.78

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Solution

The fourth proportional to 11,097.14, 16,652.28 and 4,436.78 is: 6,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.14 : 16,652.28 = 4,436.78 : x
  2. Step 2: Convert to fraction form
    11,097.14/16,652.28 = 4,436.78/x
  3. Step 3: Cross multiply
    11,097.14x = 16,652.28 × 4,436.78
  4. Step 4: Simplify right side
    11,097.14x = 73,882,419.60
  5. Step 5: Solve for x
    x = 73,882,419.60/11,097.14
  6. Step 6: Final answer
    x = 6,657.79

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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.