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Finding the Fourth Proportional to 10,321.04, 14,243.22 and 5,844.78

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Solution

The fourth proportional to 10,321.04, 14,243.22 and 5,844.78 is: 8,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.04 : 14,243.22 = 5,844.78 : x
  2. Step 2: Convert to fraction form
    10,321.04/14,243.22 = 5,844.78/x
  3. Step 3: Cross multiply
    10,321.04x = 14,243.22 × 5,844.78
  4. Step 4: Simplify right side
    10,321.04x = 83,248,487.39
  5. Step 5: Solve for x
    x = 83,248,487.39/10,321.04
  6. Step 6: Final answer
    x = 8,065.90

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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.