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Finding the Fourth Proportional to 10,037.75, 13,854.02 and 5,791.55

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Solution

The fourth proportional to 10,037.75, 13,854.02 and 5,791.55 is: 7,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.75 : 13,854.02 = 5,791.55 : x
  2. Step 2: Convert to fraction form
    10,037.75/13,854.02 = 5,791.55/x
  3. Step 3: Cross multiply
    10,037.75x = 13,854.02 × 5,791.55
  4. Step 4: Simplify right side
    10,037.75x = 80,236,261.81
  5. Step 5: Solve for x
    x = 80,236,261.81/10,037.75
  6. Step 6: Final answer
    x = 7,993.45

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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.