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Finding the Fourth Proportional to 10,232.96, 14,120.96 and 5,756.80

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Solution

The fourth proportional to 10,232.96, 14,120.96 and 5,756.80 is: 7,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.96 : 14,120.96 = 5,756.80 : x
  2. Step 2: Convert to fraction form
    10,232.96/14,120.96 = 5,756.80/x
  3. Step 3: Cross multiply
    10,232.96x = 14,120.96 × 5,756.80
  4. Step 4: Simplify right side
    10,232.96x = 81,291,542.53
  5. Step 5: Solve for x
    x = 81,291,542.53/10,232.96
  6. Step 6: Final answer
    x = 7,944.09

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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.