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Finding the Fourth Proportional to 11,642.06, 16,066.05 and 6,336.92

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Solution

The fourth proportional to 11,642.06, 16,066.05 and 6,336.92 is: 8,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.06 : 16,066.05 = 6,336.92 : x
  2. Step 2: Convert to fraction form
    11,642.06/16,066.05 = 6,336.92/x
  3. Step 3: Cross multiply
    11,642.06x = 16,066.05 × 6,336.92
  4. Step 4: Simplify right side
    11,642.06x = 101,809,199.60
  5. Step 5: Solve for x
    x = 101,809,199.60/11,642.06
  6. Step 6: Final answer
    x = 8,744.95

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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.