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Finding the Fourth Proportional to 10,382.92, 15,574.21 and 4,833.14

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Solution

The fourth proportional to 10,382.92, 15,574.21 and 4,833.14 is: 7,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.92 : 15,574.21 = 4,833.14 : x
  2. Step 2: Convert to fraction form
    10,382.92/15,574.21 = 4,833.14/x
  3. Step 3: Cross multiply
    10,382.92x = 15,574.21 × 4,833.14
  4. Step 4: Simplify right side
    10,382.92x = 75,272,247.37
  5. Step 5: Solve for x
    x = 75,272,247.37/10,382.92
  6. Step 6: Final answer
    x = 7,249.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.