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Finding the Fourth Proportional to 11,647.94, 16,074.36 and 6,342.74

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Solution

The fourth proportional to 11,647.94, 16,074.36 and 6,342.74 is: 8,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.94 : 16,074.36 = 6,342.74 : x
  2. Step 2: Convert to fraction form
    11,647.94/16,074.36 = 6,342.74/x
  3. Step 3: Cross multiply
    11,647.94x = 16,074.36 × 6,342.74
  4. Step 4: Simplify right side
    11,647.94x = 101,955,486.15
  5. Step 5: Solve for x
    x = 101,955,486.15/11,647.94
  6. Step 6: Final answer
    x = 8,753.09

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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.