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Finding the Fourth Proportional to 10,023.45, 13,833.83 and 5,773.68

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Solution

The fourth proportional to 10,023.45, 13,833.83 and 5,773.68 is: 7,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.45 : 13,833.83 = 5,773.68 : x
  2. Step 2: Convert to fraction form
    10,023.45/13,833.83 = 5,773.68/x
  3. Step 3: Cross multiply
    10,023.45x = 13,833.83 × 5,773.68
  4. Step 4: Simplify right side
    10,023.45x = 79,872,130.60
  5. Step 5: Solve for x
    x = 79,872,130.60/10,023.45
  6. Step 6: Final answer
    x = 7,968.53

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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.