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Finding the Fourth Proportional to 8,431.66, 12,647.48 and 2,885.06

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Solution

The fourth proportional to 8,431.66, 12,647.48 and 2,885.06 is: 4,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.66 : 12,647.48 = 2,885.06 : x
  2. Step 2: Convert to fraction form
    8,431.66/12,647.48 = 2,885.06/x
  3. Step 3: Cross multiply
    8,431.66x = 12,647.48 × 2,885.06
  4. Step 4: Simplify right side
    8,431.66x = 36,488,738.65
  5. Step 5: Solve for x
    x = 36,488,738.65/8,431.66
  6. Step 6: Final answer
    x = 4,327.59

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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.