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Finding the Fourth Proportional to 7,863.98, 10,853.26 and 4,678.85

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Solution

The fourth proportional to 7,863.98, 10,853.26 and 4,678.85 is: 6,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.98 : 10,853.26 = 4,678.85 : x
  2. Step 2: Convert to fraction form
    7,863.98/10,853.26 = 4,678.85/x
  3. Step 3: Cross multiply
    7,863.98x = 10,853.26 × 4,678.85
  4. Step 4: Simplify right side
    7,863.98x = 50,780,790.99
  5. Step 5: Solve for x
    x = 50,780,790.99/7,863.98
  6. Step 6: Final answer
    x = 6,457.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.