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Finding the Fourth Proportional to 10,643.26, 14,687.72 and 6,167.87

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Solution

The fourth proportional to 10,643.26, 14,687.72 and 6,167.87 is: 8,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.26 : 14,687.72 = 6,167.87 : x
  2. Step 2: Convert to fraction form
    10,643.26/14,687.72 = 6,167.87/x
  3. Step 3: Cross multiply
    10,643.26x = 14,687.72 × 6,167.87
  4. Step 4: Simplify right side
    10,643.26x = 90,591,916.72
  5. Step 5: Solve for x
    x = 90,591,916.72/10,643.26
  6. Step 6: Final answer
    x = 8,511.67

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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.