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Finding the Fourth Proportional to 8,267.41, 11,409.14 and 4,490.58

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Solution

The fourth proportional to 8,267.41, 11,409.14 and 4,490.58 is: 6,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.41 : 11,409.14 = 4,490.58 : x
  2. Step 2: Convert to fraction form
    8,267.41/11,409.14 = 4,490.58/x
  3. Step 3: Cross multiply
    8,267.41x = 11,409.14 × 4,490.58
  4. Step 4: Simplify right side
    8,267.41x = 51,233,633.45
  5. Step 5: Solve for x
    x = 51,233,633.45/8,267.41
  6. Step 6: Final answer
    x = 6,197.06

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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.