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Finding the Fourth Proportional to 10,538.02, 14,542.48 and 5,822.32

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Solution

The fourth proportional to 10,538.02, 14,542.48 and 5,822.32 is: 8,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.02 : 14,542.48 = 5,822.32 : x
  2. Step 2: Convert to fraction form
    10,538.02/14,542.48 = 5,822.32/x
  3. Step 3: Cross multiply
    10,538.02x = 14,542.48 × 5,822.32
  4. Step 4: Simplify right side
    10,538.02x = 84,670,972.15
  5. Step 5: Solve for x
    x = 84,670,972.15/10,538.02
  6. Step 6: Final answer
    x = 8,034.81

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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.