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Finding the Fourth Proportional to 11,419.52, 15,758.70 and 6,383.60

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Solution

The fourth proportional to 11,419.52, 15,758.70 and 6,383.60 is: 8,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.52 : 15,758.70 = 6,383.60 : x
  2. Step 2: Convert to fraction form
    11,419.52/15,758.70 = 6,383.60/x
  3. Step 3: Cross multiply
    11,419.52x = 15,758.70 × 6,383.60
  4. Step 4: Simplify right side
    11,419.52x = 100,597,237.32
  5. Step 5: Solve for x
    x = 100,597,237.32/11,419.52
  6. Step 6: Final answer
    x = 8,809.24

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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.