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Finding the Fourth Proportional to 10,460.69, 14,431.68 and 5,982.05

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Solution

The fourth proportional to 10,460.69, 14,431.68 and 5,982.05 is: 8,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.69 : 14,431.68 = 5,982.05 : x
  2. Step 2: Convert to fraction form
    10,460.69/14,431.68 = 5,982.05/x
  3. Step 3: Cross multiply
    10,460.69x = 14,431.68 × 5,982.05
  4. Step 4: Simplify right side
    10,460.69x = 86,331,037.98
  5. Step 5: Solve for x
    x = 86,331,037.98/10,460.69
  6. Step 6: Final answer
    x = 8,252.90

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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.