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Finding the Fourth Proportional to 10,813.52, 14,922.92 and 5,968.42

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Solution

The fourth proportional to 10,813.52, 14,922.92 and 5,968.42 is: 8,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.52 : 14,922.92 = 5,968.42 : x
  2. Step 2: Convert to fraction form
    10,813.52/14,922.92 = 5,968.42/x
  3. Step 3: Cross multiply
    10,813.52x = 14,922.92 × 5,968.42
  4. Step 4: Simplify right side
    10,813.52x = 89,066,254.19
  5. Step 5: Solve for x
    x = 89,066,254.19/10,813.52
  6. Step 6: Final answer
    x = 8,236.56

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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.