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Finding the Fourth Proportional to 11,778.37, 16,254.10 and 6,742.56

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Solution

The fourth proportional to 11,778.37, 16,254.10 and 6,742.56 is: 9,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.37 : 16,254.10 = 6,742.56 : x
  2. Step 2: Convert to fraction form
    11,778.37/16,254.10 = 6,742.56/x
  3. Step 3: Cross multiply
    11,778.37x = 16,254.10 × 6,742.56
  4. Step 4: Simplify right side
    11,778.37x = 109,594,244.50
  5. Step 5: Solve for x
    x = 109,594,244.50/11,778.37
  6. Step 6: Final answer
    x = 9,304.70

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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.