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Finding the Fourth Proportional to 8,215.44, 11,337.42 and 4,678.67

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Solution

The fourth proportional to 8,215.44, 11,337.42 and 4,678.67 is: 6,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.44 : 11,337.42 = 4,678.67 : x
  2. Step 2: Convert to fraction form
    8,215.44/11,337.42 = 4,678.67/x
  3. Step 3: Cross multiply
    8,215.44x = 11,337.42 × 4,678.67
  4. Step 4: Simplify right side
    8,215.44x = 53,044,046.83
  5. Step 5: Solve for x
    x = 53,044,046.83/8,215.44
  6. Step 6: Final answer
    x = 6,456.63

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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.