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Finding the Fourth Proportional to 10,235.61, 15,324.94 and 5,227.17

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Solution

The fourth proportional to 10,235.61, 15,324.94 and 5,227.17 is: 7,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.61 : 15,324.94 = 5,227.17 : x
  2. Step 2: Convert to fraction form
    10,235.61/15,324.94 = 5,227.17/x
  3. Step 3: Cross multiply
    10,235.61x = 15,324.94 × 5,227.17
  4. Step 4: Simplify right side
    10,235.61x = 80,106,066.62
  5. Step 5: Solve for x
    x = 80,106,066.62/10,235.61
  6. Step 6: Final answer
    x = 7,826.21

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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.