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Finding the Fourth Proportional to 8,290.50, 11,443.30 and 6,623.52

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Solution

The fourth proportional to 8,290.50, 11,443.30 and 6,623.52 is: 9,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.50 : 11,443.30 = 6,623.52 : x
  2. Step 2: Convert to fraction form
    8,290.50/11,443.30 = 6,623.52/x
  3. Step 3: Cross multiply
    8,290.50x = 11,443.30 × 6,623.52
  4. Step 4: Simplify right side
    8,290.50x = 75,794,926.42
  5. Step 5: Solve for x
    x = 75,794,926.42/8,290.50
  6. Step 6: Final answer
    x = 9,142.38

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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.