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Finding the Fourth Proportional to 7,171.84, 10,753.04 and 3,466.72

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Solution

The fourth proportional to 7,171.84, 10,753.04 and 3,466.72 is: 5,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.84 : 10,753.04 = 3,466.72 : x
  2. Step 2: Convert to fraction form
    7,171.84/10,753.04 = 3,466.72/x
  3. Step 3: Cross multiply
    7,171.84x = 10,753.04 × 3,466.72
  4. Step 4: Simplify right side
    7,171.84x = 37,277,778.83
  5. Step 5: Solve for x
    x = 37,277,778.83/7,171.84
  6. Step 6: Final answer
    x = 5,197.80

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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.