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Finding the Fourth Proportional to 11,778.42, 16,254.52 and 6,473.37

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Solution

The fourth proportional to 11,778.42, 16,254.52 and 6,473.37 is: 8,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.42 : 16,254.52 = 6,473.37 : x
  2. Step 2: Convert to fraction form
    11,778.42/16,254.52 = 6,473.37/x
  3. Step 3: Cross multiply
    11,778.42x = 16,254.52 × 6,473.37
  4. Step 4: Simplify right side
    11,778.42x = 105,221,505.95
  5. Step 5: Solve for x
    x = 105,221,505.95/11,778.42
  6. Step 6: Final answer
    x = 8,933.41

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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.