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Finding the Fourth Proportional to 7,295.73, 10,066.27 and 4,108.38

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Solution

The fourth proportional to 7,295.73, 10,066.27 and 4,108.38 is: 5,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.73 : 10,066.27 = 4,108.38 : x
  2. Step 2: Convert to fraction form
    7,295.73/10,066.27 = 4,108.38/x
  3. Step 3: Cross multiply
    7,295.73x = 10,066.27 × 4,108.38
  4. Step 4: Simplify right side
    7,295.73x = 41,356,062.34
  5. Step 5: Solve for x
    x = 41,356,062.34/7,295.73
  6. Step 6: Final answer
    x = 5,668.53

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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.