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Finding the Fourth Proportional to 10,231.97, 15,333.10 and 5,548.01

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Solution

The fourth proportional to 10,231.97, 15,333.10 and 5,548.01 is: 8,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.97 : 15,333.10 = 5,548.01 : x
  2. Step 2: Convert to fraction form
    10,231.97/15,333.10 = 5,548.01/x
  3. Step 3: Cross multiply
    10,231.97x = 15,333.10 × 5,548.01
  4. Step 4: Simplify right side
    10,231.97x = 85,068,101.60
  5. Step 5: Solve for x
    x = 85,068,101.60/10,231.97
  6. Step 6: Final answer
    x = 8,313.96

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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.