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Finding the Fourth Proportional to 10,859.62, 16,278.36 and 4,282.16

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Solution

The fourth proportional to 10,859.62, 16,278.36 and 4,282.16 is: 6,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.62 : 16,278.36 = 4,282.16 : x
  2. Step 2: Convert to fraction form
    10,859.62/16,278.36 = 4,282.16/x
  3. Step 3: Cross multiply
    10,859.62x = 16,278.36 × 4,282.16
  4. Step 4: Simplify right side
    10,859.62x = 69,706,542.06
  5. Step 5: Solve for x
    x = 69,706,542.06/10,859.62
  6. Step 6: Final answer
    x = 6,418.87

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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.