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Finding the Fourth Proportional to 11,639.57, 16,062.64 and 6,334.40

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Solution

The fourth proportional to 11,639.57, 16,062.64 and 6,334.40 is: 8,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.57 : 16,062.64 = 6,334.40 : x
  2. Step 2: Convert to fraction form
    11,639.57/16,062.64 = 6,334.40/x
  3. Step 3: Cross multiply
    11,639.57x = 16,062.64 × 6,334.40
  4. Step 4: Simplify right side
    11,639.57x = 101,747,211.14
  5. Step 5: Solve for x
    x = 101,747,211.14/11,639.57
  6. Step 6: Final answer
    x = 8,741.50

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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.