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Finding the Fourth Proportional to 8,142.61, 12,215.54 and 3,462.59

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Solution

The fourth proportional to 8,142.61, 12,215.54 and 3,462.59 is: 5,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.61 : 12,215.54 = 3,462.59 : x
  2. Step 2: Convert to fraction form
    8,142.61/12,215.54 = 3,462.59/x
  3. Step 3: Cross multiply
    8,142.61x = 12,215.54 × 3,462.59
  4. Step 4: Simplify right side
    8,142.61x = 42,297,406.65
  5. Step 5: Solve for x
    x = 42,297,406.65/8,142.61
  6. Step 6: Final answer
    x = 5,194.58

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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.