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Finding the Fourth Proportional to 8,267.43, 11,409.15 and 4,490.64

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Solution

The fourth proportional to 8,267.43, 11,409.15 and 4,490.64 is: 6,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.43 : 11,409.15 = 4,490.64 : x
  2. Step 2: Convert to fraction form
    8,267.43/11,409.15 = 4,490.64/x
  3. Step 3: Cross multiply
    8,267.43x = 11,409.15 × 4,490.64
  4. Step 4: Simplify right side
    8,267.43x = 51,234,385.36
  5. Step 5: Solve for x
    x = 51,234,385.36/8,267.43
  6. Step 6: Final answer
    x = 6,197.14

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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.