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Finding the Fourth Proportional to 7,693.38, 10,616.67 and 4,336.13

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Solution

The fourth proportional to 7,693.38, 10,616.67 and 4,336.13 is: 5,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.38 : 10,616.67 = 4,336.13 : x
  2. Step 2: Convert to fraction form
    7,693.38/10,616.67 = 4,336.13/x
  3. Step 3: Cross multiply
    7,693.38x = 10,616.67 × 4,336.13
  4. Step 4: Simplify right side
    7,693.38x = 46,035,287.83
  5. Step 5: Solve for x
    x = 46,035,287.83/7,693.38
  6. Step 6: Final answer
    x = 5,983.75

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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.