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Finding the Fourth Proportional to 10,122.99, 15,186.11 and 4,576.11

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Solution

The fourth proportional to 10,122.99, 15,186.11 and 4,576.11 is: 6,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.99 : 15,186.11 = 4,576.11 : x
  2. Step 2: Convert to fraction form
    10,122.99/15,186.11 = 4,576.11/x
  3. Step 3: Cross multiply
    10,122.99x = 15,186.11 × 4,576.11
  4. Step 4: Simplify right side
    10,122.99x = 69,493,286.95
  5. Step 5: Solve for x
    x = 69,493,286.95/10,122.99
  6. Step 6: Final answer
    x = 6,864.90

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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.