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Finding the Fourth Proportional to 10,269.67, 14,165.04 and 6,292.68

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Solution

The fourth proportional to 10,269.67, 14,165.04 and 6,292.68 is: 8,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.67 : 14,165.04 = 6,292.68 : x
  2. Step 2: Convert to fraction form
    10,269.67/14,165.04 = 6,292.68/x
  3. Step 3: Cross multiply
    10,269.67x = 14,165.04 × 6,292.68
  4. Step 4: Simplify right side
    10,269.67x = 89,136,063.91
  5. Step 5: Solve for x
    x = 89,136,063.91/10,269.67
  6. Step 6: Final answer
    x = 8,679.55

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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.