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Finding the Fourth Proportional to 10,808.38, 16,212.41 and 6,592.87

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Solution

The fourth proportional to 10,808.38, 16,212.41 and 6,592.87 is: 9,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.38 : 16,212.41 = 6,592.87 : x
  2. Step 2: Convert to fraction form
    10,808.38/16,212.41 = 6,592.87/x
  3. Step 3: Cross multiply
    10,808.38x = 16,212.41 × 6,592.87
  4. Step 4: Simplify right side
    10,808.38x = 106,886,238.02
  5. Step 5: Solve for x
    x = 106,886,238.02/10,808.38
  6. Step 6: Final answer
    x = 9,889.20

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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.