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Finding the Fourth Proportional to 11,384.24, 15,694.62 and 7,608.20

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Solution

The fourth proportional to 11,384.24, 15,694.62 and 7,608.20 is: 10,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.24 : 15,694.62 = 7,608.20 : x
  2. Step 2: Convert to fraction form
    11,384.24/15,694.62 = 7,608.20/x
  3. Step 3: Cross multiply
    11,384.24x = 15,694.62 × 7,608.20
  4. Step 4: Simplify right side
    11,384.24x = 119,407,807.88
  5. Step 5: Solve for x
    x = 119,407,807.88/11,384.24
  6. Step 6: Final answer
    x = 10,488.87

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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.