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Finding the Fourth Proportional to 11,778.10, 16,254.08 and 6,473.05

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Solution

The fourth proportional to 11,778.10, 16,254.08 and 6,473.05 is: 8,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.10 : 16,254.08 = 6,473.05 : x
  2. Step 2: Convert to fraction form
    11,778.10/16,254.08 = 6,473.05/x
  3. Step 3: Cross multiply
    11,778.10x = 16,254.08 × 6,473.05
  4. Step 4: Simplify right side
    11,778.10x = 105,213,472.54
  5. Step 5: Solve for x
    x = 105,213,472.54/11,778.10
  6. Step 6: Final answer
    x = 8,932.97

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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.