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Finding the Fourth Proportional to 8,267, 11,408.94 and 4,731.32

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Solution

The fourth proportional to 8,267, 11,408.94 and 4,731.32 is: 6,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 11,408.94 = 4,731.32 : x
  2. Step 2: Convert to fraction form
    8,267/11,408.94 = 4,731.32/x
  3. Step 3: Cross multiply
    8,267x = 11,408.94 × 4,731.32
  4. Step 4: Simplify right side
    8,267x = 53,979,346.00
  5. Step 5: Solve for x
    x = 53,979,346.00/8,267
  6. Step 6: Final answer
    x = 6,529.50

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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.