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Finding the Fourth Proportional to 7,072.41, 9,760.10 and 3,885.87

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Solution

The fourth proportional to 7,072.41, 9,760.10 and 3,885.87 is: 5,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.41 : 9,760.10 = 3,885.87 : x
  2. Step 2: Convert to fraction form
    7,072.41/9,760.10 = 3,885.87/x
  3. Step 3: Cross multiply
    7,072.41x = 9,760.10 × 3,885.87
  4. Step 4: Simplify right side
    7,072.41x = 37,926,496.96
  5. Step 5: Solve for x
    x = 37,926,496.96/7,072.41
  6. Step 6: Final answer
    x = 5,362.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.