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Finding the Fourth Proportional to 10,195.96, 15,269.31 and 5,800.09

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Solution

The fourth proportional to 10,195.96, 15,269.31 and 5,800.09 is: 8,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.96 : 15,269.31 = 5,800.09 : x
  2. Step 2: Convert to fraction form
    10,195.96/15,269.31 = 5,800.09/x
  3. Step 3: Cross multiply
    10,195.96x = 15,269.31 × 5,800.09
  4. Step 4: Simplify right side
    10,195.96x = 88,563,372.24
  5. Step 5: Solve for x
    x = 88,563,372.24/10,195.96
  6. Step 6: Final answer
    x = 8,686.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.