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Finding the Fourth Proportional to 8,643.72, 11,914.74 and 7,593.96

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Solution

The fourth proportional to 8,643.72, 11,914.74 and 7,593.96 is: 10,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.72 : 11,914.74 = 7,593.96 : x
  2. Step 2: Convert to fraction form
    8,643.72/11,914.74 = 7,593.96/x
  3. Step 3: Cross multiply
    8,643.72x = 11,914.74 × 7,593.96
  4. Step 4: Simplify right side
    8,643.72x = 90,480,058.97
  5. Step 5: Solve for x
    x = 90,480,058.97/8,643.72
  6. Step 6: Final answer
    x = 10,467.72

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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.