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Finding the Fourth Proportional to 6,768.72, 9,341.28 and 4,116.24

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Solution

The fourth proportional to 6,768.72, 9,341.28 and 4,116.24 is: 5,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.72 : 9,341.28 = 4,116.24 : x
  2. Step 2: Convert to fraction form
    6,768.72/9,341.28 = 4,116.24/x
  3. Step 3: Cross multiply
    6,768.72x = 9,341.28 × 4,116.24
  4. Step 4: Simplify right side
    6,768.72x = 38,450,950.39
  5. Step 5: Solve for x
    x = 38,450,950.39/6,768.72
  6. Step 6: Final answer
    x = 5,680.68

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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.