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Finding the Fourth Proportional to 10,538.21, 14,543.41 and 5,822.49

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Solution

The fourth proportional to 10,538.21, 14,543.41 and 5,822.49 is: 8,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.21 : 14,543.41 = 5,822.49 : x
  2. Step 2: Convert to fraction form
    10,538.21/14,543.41 = 5,822.49/x
  3. Step 3: Cross multiply
    10,538.21x = 14,543.41 × 5,822.49
  4. Step 4: Simplify right side
    10,538.21x = 84,678,844.73
  5. Step 5: Solve for x
    x = 84,678,844.73/10,538.21
  6. Step 6: Final answer
    x = 8,035.41

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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.