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Finding the Fourth Proportional to 10,561.92, 14,568.96 and 6,311.04

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Solution

The fourth proportional to 10,561.92, 14,568.96 and 6,311.04 is: 8,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.92 : 14,568.96 = 6,311.04 : x
  2. Step 2: Convert to fraction form
    10,561.92/14,568.96 = 6,311.04/x
  3. Step 3: Cross multiply
    10,561.92x = 14,568.96 × 6,311.04
  4. Step 4: Simplify right side
    10,561.92x = 91,945,289.32
  5. Step 5: Solve for x
    x = 91,945,289.32/10,561.92
  6. Step 6: Final answer
    x = 8,705.36

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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.