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Finding the Fourth Proportional to 6,357.13, 8,772 and 3,668.44

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Solution

The fourth proportional to 6,357.13, 8,772 and 3,668.44 is: 5,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.13 : 8,772 = 3,668.44 : x
  2. Step 2: Convert to fraction form
    6,357.13/8,772 = 3,668.44/x
  3. Step 3: Cross multiply
    6,357.13x = 8,772 × 3,668.44
  4. Step 4: Simplify right side
    6,357.13x = 32,179,555.68
  5. Step 5: Solve for x
    x = 32,179,555.68/6,357.13
  6. Step 6: Final answer
    x = 5,061.96

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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.