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Finding the Fourth Proportional to 10,023.08, 13,833.31 and 5,773.31

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Solution

The fourth proportional to 10,023.08, 13,833.31 and 5,773.31 is: 7,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.08 : 13,833.31 = 5,773.31 : x
  2. Step 2: Convert to fraction form
    10,023.08/13,833.31 = 5,773.31/x
  3. Step 3: Cross multiply
    10,023.08x = 13,833.31 × 5,773.31
  4. Step 4: Simplify right side
    10,023.08x = 79,863,949.82
  5. Step 5: Solve for x
    x = 79,863,949.82/10,023.08
  6. Step 6: Final answer
    x = 7,968.01

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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.