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Finding the Fourth Proportional to 8,267.57, 11,408.05 and 4,730.12

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Solution

The fourth proportional to 8,267.57, 11,408.05 and 4,730.12 is: 6,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.57 : 11,408.05 = 4,730.12 : x
  2. Step 2: Convert to fraction form
    8,267.57/11,408.05 = 4,730.12/x
  3. Step 3: Cross multiply
    8,267.57x = 11,408.05 × 4,730.12
  4. Step 4: Simplify right side
    8,267.57x = 53,961,445.47
  5. Step 5: Solve for x
    x = 53,961,445.47/8,267.57
  6. Step 6: Final answer
    x = 6,526.88

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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.