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Finding the Fourth Proportional to 10,052.14, 13,871.99 and 5,576.30

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Solution

The fourth proportional to 10,052.14, 13,871.99 and 5,576.30 is: 7,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.14 : 13,871.99 = 5,576.30 : x
  2. Step 2: Convert to fraction form
    10,052.14/13,871.99 = 5,576.30/x
  3. Step 3: Cross multiply
    10,052.14x = 13,871.99 × 5,576.30
  4. Step 4: Simplify right side
    10,052.14x = 77,354,377.84
  5. Step 5: Solve for x
    x = 77,354,377.84/10,052.14
  6. Step 6: Final answer
    x = 7,695.31

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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.