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Finding the Fourth Proportional to 10,285.38, 15,431.31 and 3,364.74

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Solution

The fourth proportional to 10,285.38, 15,431.31 and 3,364.74 is: 5,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.38 : 15,431.31 = 3,364.74 : x
  2. Step 2: Convert to fraction form
    10,285.38/15,431.31 = 3,364.74/x
  3. Step 3: Cross multiply
    10,285.38x = 15,431.31 × 3,364.74
  4. Step 4: Simplify right side
    10,285.38x = 51,922,346.01
  5. Step 5: Solve for x
    x = 51,922,346.01/10,285.38
  6. Step 6: Final answer
    x = 5,048.17

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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.