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Finding the Fourth Proportional to 10,636.26, 14,686.65 and 6,861.30

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Solution

The fourth proportional to 10,636.26, 14,686.65 and 6,861.30 is: 9,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.26 : 14,686.65 = 6,861.30 : x
  2. Step 2: Convert to fraction form
    10,636.26/14,686.65 = 6,861.30/x
  3. Step 3: Cross multiply
    10,636.26x = 14,686.65 × 6,861.30
  4. Step 4: Simplify right side
    10,636.26x = 100,769,511.65
  5. Step 5: Solve for x
    x = 100,769,511.65/10,636.26
  6. Step 6: Final answer
    x = 9,474.15

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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.