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Finding the Fourth Proportional to 10,038.03, 13,854.41 and 5,791.82

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Solution

The fourth proportional to 10,038.03, 13,854.41 and 5,791.82 is: 7,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.03 : 13,854.41 = 5,791.82 : x
  2. Step 2: Convert to fraction form
    10,038.03/13,854.41 = 5,791.82/x
  3. Step 3: Cross multiply
    10,038.03x = 13,854.41 × 5,791.82
  4. Step 4: Simplify right side
    10,038.03x = 80,242,250.35
  5. Step 5: Solve for x
    x = 80,242,250.35/10,038.03
  6. Step 6: Final answer
    x = 7,993.83

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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.