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Finding the Fourth Proportional to 11,456.85, 15,811.12 and 6,420.83

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Solution

The fourth proportional to 11,456.85, 15,811.12 and 6,420.83 is: 8,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.85 : 15,811.12 = 6,420.83 : x
  2. Step 2: Convert to fraction form
    11,456.85/15,811.12 = 6,420.83/x
  3. Step 3: Cross multiply
    11,456.85x = 15,811.12 × 6,420.83
  4. Step 4: Simplify right side
    11,456.85x = 101,520,505.13
  5. Step 5: Solve for x
    x = 101,520,505.13/11,456.85
  6. Step 6: Final answer
    x = 8,861.12

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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.