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Finding the Fourth Proportional to 10,256, 15,382.42 and 2,859.68

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Solution

The fourth proportional to 10,256, 15,382.42 and 2,859.68 is: 4,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 15,382.42 = 2,859.68 : x
  2. Step 2: Convert to fraction form
    10,256/15,382.42 = 2,859.68/x
  3. Step 3: Cross multiply
    10,256x = 15,382.42 × 2,859.68
  4. Step 4: Simplify right side
    10,256x = 43,988,798.83
  5. Step 5: Solve for x
    x = 43,988,798.83/10,256
  6. Step 6: Final answer
    x = 4,289.08

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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.