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Finding the Fourth Proportional to 11,641.95, 16,066.17 and 6,336.81

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Solution

The fourth proportional to 11,641.95, 16,066.17 and 6,336.81 is: 8,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.95 : 16,066.17 = 6,336.81 : x
  2. Step 2: Convert to fraction form
    11,641.95/16,066.17 = 6,336.81/x
  3. Step 3: Cross multiply
    11,641.95x = 16,066.17 × 6,336.81
  4. Step 4: Simplify right side
    11,641.95x = 101,808,266.72
  5. Step 5: Solve for x
    x = 101,808,266.72/11,641.95
  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.