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Finding the Fourth Proportional to 11,436.30, 15,764.63 and 8,248.14

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Solution

The fourth proportional to 11,436.30, 15,764.63 and 8,248.14 is: 11,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.30 : 15,764.63 = 8,248.14 : x
  2. Step 2: Convert to fraction form
    11,436.30/15,764.63 = 8,248.14/x
  3. Step 3: Cross multiply
    11,436.30x = 15,764.63 × 8,248.14
  4. Step 4: Simplify right side
    11,436.30x = 130,028,834.05
  5. Step 5: Solve for x
    x = 130,028,834.05/11,436.30
  6. Step 6: Final answer
    x = 11,369.83

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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.