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Finding the Fourth Proportional to 11,436.18, 15,782.18 and 8,084.90

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Solution

The fourth proportional to 11,436.18, 15,782.18 and 8,084.90 is: 11,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.18 : 15,782.18 = 8,084.90 : x
  2. Step 2: Convert to fraction form
    11,436.18/15,782.18 = 8,084.90/x
  3. Step 3: Cross multiply
    11,436.18x = 15,782.18 × 8,084.90
  4. Step 4: Simplify right side
    11,436.18x = 127,597,227.75
  5. Step 5: Solve for x
    x = 127,597,227.75/11,436.18
  6. Step 6: Final answer
    x = 11,157.33

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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.