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Finding the Fourth Proportional to 10,782.56, 16,143.84 and 5,506.18

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Solution

The fourth proportional to 10,782.56, 16,143.84 and 5,506.18 is: 8,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.56 : 16,143.84 = 5,506.18 : x
  2. Step 2: Convert to fraction form
    10,782.56/16,143.84 = 5,506.18/x
  3. Step 3: Cross multiply
    10,782.56x = 16,143.84 × 5,506.18
  4. Step 4: Simplify right side
    10,782.56x = 88,890,888.93
  5. Step 5: Solve for x
    x = 88,890,888.93/10,782.56
  6. Step 6: Final answer
    x = 8,243.95

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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.