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Finding the Fourth Proportional to 10,820.48, 16,232.36 and 3,422.48

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Solution

The fourth proportional to 10,820.48, 16,232.36 and 3,422.48 is: 5,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.48 : 16,232.36 = 3,422.48 : x
  2. Step 2: Convert to fraction form
    10,820.48/16,232.36 = 3,422.48/x
  3. Step 3: Cross multiply
    10,820.48x = 16,232.36 × 3,422.48
  4. Step 4: Simplify right side
    10,820.48x = 55,554,927.45
  5. Step 5: Solve for x
    x = 55,554,927.45/10,820.48
  6. Step 6: Final answer
    x = 5,134.24

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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.