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Finding the Fourth Proportional to 8,234.61, 11,363.67 and 4,457.69

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Solution

The fourth proportional to 8,234.61, 11,363.67 and 4,457.69 is: 6,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.61 : 11,363.67 = 4,457.69 : x
  2. Step 2: Convert to fraction form
    8,234.61/11,363.67 = 4,457.69/x
  3. Step 3: Cross multiply
    8,234.61x = 11,363.67 × 4,457.69
  4. Step 4: Simplify right side
    8,234.61x = 50,655,661.30
  5. Step 5: Solve for x
    x = 50,655,661.30/8,234.61
  6. Step 6: Final answer
    x = 6,151.56

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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.