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Finding the Fourth Proportional to 8,234.48, 11,363.12 and 4,507.76

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Solution

The fourth proportional to 8,234.48, 11,363.12 and 4,507.76 is: 6,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.48 : 11,363.12 = 4,507.76 : x
  2. Step 2: Convert to fraction form
    8,234.48/11,363.12 = 4,507.76/x
  3. Step 3: Cross multiply
    8,234.48x = 11,363.12 × 4,507.76
  4. Step 4: Simplify right side
    8,234.48x = 51,222,217.81
  5. Step 5: Solve for x
    x = 51,222,217.81/8,234.48
  6. Step 6: Final answer
    x = 6,220.46

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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.