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Finding the Fourth Proportional to 7,267.05, 10,009.85 and 5,138.91

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Solution

The fourth proportional to 7,267.05, 10,009.85 and 5,138.91 is: 7,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.05 : 10,009.85 = 5,138.91 : x
  2. Step 2: Convert to fraction form
    7,267.05/10,009.85 = 5,138.91/x
  3. Step 3: Cross multiply
    7,267.05x = 10,009.85 × 5,138.91
  4. Step 4: Simplify right side
    7,267.05x = 51,439,692.57
  5. Step 5: Solve for x
    x = 51,439,692.57/7,267.05
  6. Step 6: Final answer
    x = 7,078.48

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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.