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Finding the Fourth Proportional to 6,937.41, 10,405.87 and 3,234.53

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Solution

The fourth proportional to 6,937.41, 10,405.87 and 3,234.53 is: 4,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.41 : 10,405.87 = 3,234.53 : x
  2. Step 2: Convert to fraction form
    6,937.41/10,405.87 = 3,234.53/x
  3. Step 3: Cross multiply
    6,937.41x = 10,405.87 × 3,234.53
  4. Step 4: Simplify right side
    6,937.41x = 33,658,116.62
  5. Step 5: Solve for x
    x = 33,658,116.62/6,937.41
  6. Step 6: Final answer
    x = 4,851.68

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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.