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Finding the Fourth Proportional to 8,267.67, 11,408.18 and 5,476.95

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Solution

The fourth proportional to 8,267.67, 11,408.18 and 5,476.95 is: 7,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.67 : 11,408.18 = 5,476.95 : x
  2. Step 2: Convert to fraction form
    8,267.67/11,408.18 = 5,476.95/x
  3. Step 3: Cross multiply
    8,267.67x = 11,408.18 × 5,476.95
  4. Step 4: Simplify right side
    8,267.67x = 62,482,004.07
  5. Step 5: Solve for x
    x = 62,482,004.07/8,267.67
  6. Step 6: Final answer
    x = 7,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.