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Finding the Fourth Proportional to 8,159.41, 12,235.24 and 3,164.12

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Solution

The fourth proportional to 8,159.41, 12,235.24 and 3,164.12 is: 4,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.41 : 12,235.24 = 3,164.12 : x
  2. Step 2: Convert to fraction form
    8,159.41/12,235.24 = 3,164.12/x
  3. Step 3: Cross multiply
    8,159.41x = 12,235.24 × 3,164.12
  4. Step 4: Simplify right side
    8,159.41x = 38,713,767.59
  5. Step 5: Solve for x
    x = 38,713,767.59/8,159.41
  6. Step 6: Final answer
    x = 4,744.68

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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.