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Finding the Fourth Proportional to 7,593.75, 10,479.38 and 4,945.66

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Solution

The fourth proportional to 7,593.75, 10,479.38 and 4,945.66 is: 6,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.75 : 10,479.38 = 4,945.66 : x
  2. Step 2: Convert to fraction form
    7,593.75/10,479.38 = 4,945.66/x
  3. Step 3: Cross multiply
    7,593.75x = 10,479.38 × 4,945.66
  4. Step 4: Simplify right side
    7,593.75x = 51,827,399.56
  5. Step 5: Solve for x
    x = 51,827,399.56/7,593.75
  6. Step 6: Final answer
    x = 6,825.01

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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.