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Finding the Fourth Proportional to 10,768.34, 14,859.38 and 6,230.27

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Solution

The fourth proportional to 10,768.34, 14,859.38 and 6,230.27 is: 8,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.34 : 14,859.38 = 6,230.27 : x
  2. Step 2: Convert to fraction form
    10,768.34/14,859.38 = 6,230.27/x
  3. Step 3: Cross multiply
    10,768.34x = 14,859.38 × 6,230.27
  4. Step 4: Simplify right side
    10,768.34x = 92,577,890.71
  5. Step 5: Solve for x
    x = 92,577,890.71/10,768.34
  6. Step 6: Final answer
    x = 8,597.23

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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.