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Finding the Fourth Proportional to 8,132.78, 12,199.10 and 4,185.14

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Solution

The fourth proportional to 8,132.78, 12,199.10 and 4,185.14 is: 6,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.78 : 12,199.10 = 4,185.14 : x
  2. Step 2: Convert to fraction form
    8,132.78/12,199.10 = 4,185.14/x
  3. Step 3: Cross multiply
    8,132.78x = 12,199.10 × 4,185.14
  4. Step 4: Simplify right side
    8,132.78x = 51,054,859.45
  5. Step 5: Solve for x
    x = 51,054,859.45/8,132.78
  6. Step 6: Final answer
    x = 6,277.66

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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.