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Finding the Fourth Proportional to 6,859.17, 10,279.47 and 3,153.24

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Solution

The fourth proportional to 6,859.17, 10,279.47 and 3,153.24 is: 4,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.17 : 10,279.47 = 3,153.24 : x
  2. Step 2: Convert to fraction form
    6,859.17/10,279.47 = 3,153.24/x
  3. Step 3: Cross multiply
    6,859.17x = 10,279.47 × 3,153.24
  4. Step 4: Simplify right side
    6,859.17x = 32,413,635.98
  5. Step 5: Solve for x
    x = 32,413,635.98/6,859.17
  6. Step 6: Final answer
    x = 4,725.59

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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.