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Finding the Fourth Proportional to 10,256.82, 15,382.18 and 2,859.49

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Solution

The fourth proportional to 10,256.82, 15,382.18 and 2,859.49 is: 4,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.82 : 15,382.18 = 2,859.49 : x
  2. Step 2: Convert to fraction form
    10,256.82/15,382.18 = 2,859.49/x
  3. Step 3: Cross multiply
    10,256.82x = 15,382.18 × 2,859.49
  4. Step 4: Simplify right side
    10,256.82x = 43,985,189.89
  5. Step 5: Solve for x
    x = 43,985,189.89/10,256.82
  6. Step 6: Final answer
    x = 4,288.38

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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.