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Finding the Fourth Proportional to 11,622.78, 16,037.34 and 6,842.34

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Solution

The fourth proportional to 11,622.78, 16,037.34 and 6,842.34 is: 9,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.78 : 16,037.34 = 6,842.34 : x
  2. Step 2: Convert to fraction form
    11,622.78/16,037.34 = 6,842.34/x
  3. Step 3: Cross multiply
    11,622.78x = 16,037.34 × 6,842.34
  4. Step 4: Simplify right side
    11,622.78x = 109,732,932.98
  5. Step 5: Solve for x
    x = 109,732,932.98/11,622.78
  6. Step 6: Final answer
    x = 9,441.20

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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.