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Finding the Fourth Proportional to 10,232.52, 14,120.78 and 5,756.28

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Solution

The fourth proportional to 10,232.52, 14,120.78 and 5,756.28 is: 7,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.52 : 14,120.78 = 5,756.28 : x
  2. Step 2: Convert to fraction form
    10,232.52/14,120.78 = 5,756.28/x
  3. Step 3: Cross multiply
    10,232.52x = 14,120.78 × 5,756.28
  4. Step 4: Simplify right side
    10,232.52x = 81,283,163.50
  5. Step 5: Solve for x
    x = 81,283,163.50/10,232.52
  6. Step 6: Final answer
    x = 7,943.61

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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.