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Finding the Fourth Proportional to 10,295.87, 14,199.84 and 6,314.18

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Solution

The fourth proportional to 10,295.87, 14,199.84 and 6,314.18 is: 8,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.87 : 14,199.84 = 6,314.18 : x
  2. Step 2: Convert to fraction form
    10,295.87/14,199.84 = 6,314.18/x
  3. Step 3: Cross multiply
    10,295.87x = 14,199.84 × 6,314.18
  4. Step 4: Simplify right side
    10,295.87x = 89,660,274.73
  5. Step 5: Solve for x
    x = 89,660,274.73/10,295.87
  6. Step 6: Final answer
    x = 8,708.38

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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.