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Finding the Fourth Proportional to 6,964.81, 10,495.13 and 5,759.33

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Solution

The fourth proportional to 6,964.81, 10,495.13 and 5,759.33 is: 8,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.81 : 10,495.13 = 5,759.33 : x
  2. Step 2: Convert to fraction form
    6,964.81/10,495.13 = 5,759.33/x
  3. Step 3: Cross multiply
    6,964.81x = 10,495.13 × 5,759.33
  4. Step 4: Simplify right side
    6,964.81x = 60,444,835.79
  5. Step 5: Solve for x
    x = 60,444,835.79/6,964.81
  6. Step 6: Final answer
    x = 8,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.