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Finding the Fourth Proportional to 7,855.18, 11,768.94 and 4,149.24

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Solution

The fourth proportional to 7,855.18, 11,768.94 and 4,149.24 is: 6,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.18 : 11,768.94 = 4,149.24 : x
  2. Step 2: Convert to fraction form
    7,855.18/11,768.94 = 4,149.24/x
  3. Step 3: Cross multiply
    7,855.18x = 11,768.94 × 4,149.24
  4. Step 4: Simplify right side
    7,855.18x = 48,832,156.61
  5. Step 5: Solve for x
    x = 48,832,156.61/7,855.18
  6. Step 6: Final answer
    x = 6,216.55

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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.