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Finding the Fourth Proportional to 8,260.81, 11,384.21 and 8,109.01

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Solution

The fourth proportional to 8,260.81, 11,384.21 and 8,109.01 is: 11,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.81 : 11,384.21 = 8,109.01 : x
  2. Step 2: Convert to fraction form
    8,260.81/11,384.21 = 8,109.01/x
  3. Step 3: Cross multiply
    8,260.81x = 11,384.21 × 8,109.01
  4. Step 4: Simplify right side
    8,260.81x = 92,314,575.27
  5. Step 5: Solve for x
    x = 92,314,575.27/8,260.81
  6. Step 6: Final answer
    x = 11,175.00

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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.