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Finding the Fourth Proportional to 7,679.54, 10,587.57 and 5,022.38

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Solution

The fourth proportional to 7,679.54, 10,587.57 and 5,022.38 is: 6,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.54 : 10,587.57 = 5,022.38 : x
  2. Step 2: Convert to fraction form
    7,679.54/10,587.57 = 5,022.38/x
  3. Step 3: Cross multiply
    7,679.54x = 10,587.57 × 5,022.38
  4. Step 4: Simplify right side
    7,679.54x = 53,174,799.82
  5. Step 5: Solve for x
    x = 53,174,799.82/7,679.54
  6. Step 6: Final answer
    x = 6,924.22

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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.