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Finding the Fourth Proportional to 8,227.86, 11,354.73 and 4,501.86

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Solution

The fourth proportional to 8,227.86, 11,354.73 and 4,501.86 is: 6,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.86 : 11,354.73 = 4,501.86 : x
  2. Step 2: Convert to fraction form
    8,227.86/11,354.73 = 4,501.86/x
  3. Step 3: Cross multiply
    8,227.86x = 11,354.73 × 4,501.86
  4. Step 4: Simplify right side
    8,227.86x = 51,117,404.80
  5. Step 5: Solve for x
    x = 51,117,404.80/8,227.86
  6. Step 6: Final answer
    x = 6,212.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.