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Finding the Fourth Proportional to 10,406.09, 15,607.10 and 8,662.30

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Solution

The fourth proportional to 10,406.09, 15,607.10 and 8,662.30 is: 12,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.09 : 15,607.10 = 8,662.30 : x
  2. Step 2: Convert to fraction form
    10,406.09/15,607.10 = 8,662.30/x
  3. Step 3: Cross multiply
    10,406.09x = 15,607.10 × 8,662.30
  4. Step 4: Simplify right side
    10,406.09x = 135,193,382.33
  5. Step 5: Solve for x
    x = 135,193,382.33/10,406.09
  6. Step 6: Final answer
    x = 12,991.76

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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.