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Finding the Fourth Proportional to 8,234.48, 12,341.14 and 4,285.19

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Solution

The fourth proportional to 8,234.48, 12,341.14 and 4,285.19 is: 6,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.48 : 12,341.14 = 4,285.19 : x
  2. Step 2: Convert to fraction form
    8,234.48/12,341.14 = 4,285.19/x
  3. Step 3: Cross multiply
    8,234.48x = 12,341.14 × 4,285.19
  4. Step 4: Simplify right side
    8,234.48x = 52,884,129.72
  5. Step 5: Solve for x
    x = 52,884,129.72/8,234.48
  6. Step 6: Final answer
    x = 6,422.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.