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Finding the Fourth Proportional to 8,234.22, 11,363.94 and 4,697.22

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Solution

The fourth proportional to 8,234.22, 11,363.94 and 4,697.22 is: 6,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.22 : 11,363.94 = 4,697.22 : x
  2. Step 2: Convert to fraction form
    8,234.22/11,363.94 = 4,697.22/x
  3. Step 3: Cross multiply
    8,234.22x = 11,363.94 × 4,697.22
  4. Step 4: Simplify right side
    8,234.22x = 53,378,926.25
  5. Step 5: Solve for x
    x = 53,378,926.25/8,234.22
  6. Step 6: Final answer
    x = 6,482.57

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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.