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Finding the Fourth Proportional to 8,723.34, 13,101.78 and 7,476.75

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Solution

The fourth proportional to 8,723.34, 13,101.78 and 7,476.75 is: 11,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.34 : 13,101.78 = 7,476.75 : x
  2. Step 2: Convert to fraction form
    8,723.34/13,101.78 = 7,476.75/x
  3. Step 3: Cross multiply
    8,723.34x = 13,101.78 × 7,476.75
  4. Step 4: Simplify right side
    8,723.34x = 97,958,733.62
  5. Step 5: Solve for x
    x = 97,958,733.62/8,723.34
  6. Step 6: Final answer
    x = 11,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.