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Finding the Fourth Proportional to 10,202.81, 15,311.89 and 7,576.44

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Solution

The fourth proportional to 10,202.81, 15,311.89 and 7,576.44 is: 11,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.81 : 15,311.89 = 7,576.44 : x
  2. Step 2: Convert to fraction form
    10,202.81/15,311.89 = 7,576.44/x
  3. Step 3: Cross multiply
    10,202.81x = 15,311.89 × 7,576.44
  4. Step 4: Simplify right side
    10,202.81x = 116,009,525.31
  5. Step 5: Solve for x
    x = 116,009,525.31/10,202.81
  6. Step 6: Final answer
    x = 11,370.35

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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.