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Finding the Fourth Proportional to 8,433.74, 11,629.82 and 7,242.66

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Solution

The fourth proportional to 8,433.74, 11,629.82 and 7,242.66 is: 9,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.74 : 11,629.82 = 7,242.66 : x
  2. Step 2: Convert to fraction form
    8,433.74/11,629.82 = 7,242.66/x
  3. Step 3: Cross multiply
    8,433.74x = 11,629.82 × 7,242.66
  4. Step 4: Simplify right side
    8,433.74x = 84,230,895.62
  5. Step 5: Solve for x
    x = 84,230,895.62/8,433.74
  6. Step 6: Final answer
    x = 9,987.38

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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.