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Finding the Fourth Proportional to 8,057.30, 12,081.09 and 3,614.16

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Solution

The fourth proportional to 8,057.30, 12,081.09 and 3,614.16 is: 5,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.30 : 12,081.09 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    8,057.30/12,081.09 = 3,614.16/x
  3. Step 3: Cross multiply
    8,057.30x = 12,081.09 × 3,614.16
  4. Step 4: Simplify right side
    8,057.30x = 43,662,931.83
  5. Step 5: Solve for x
    x = 43,662,931.83/8,057.30
  6. Step 6: Final answer
    x = 5,419.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.