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Finding the Fourth Proportional to 8,050.66, 12,089.22 and 5,434.96

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Solution

The fourth proportional to 8,050.66, 12,089.22 and 5,434.96 is: 8,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.66 : 12,089.22 = 5,434.96 : x
  2. Step 2: Convert to fraction form
    8,050.66/12,089.22 = 5,434.96/x
  3. Step 3: Cross multiply
    8,050.66x = 12,089.22 × 5,434.96
  4. Step 4: Simplify right side
    8,050.66x = 65,704,427.13
  5. Step 5: Solve for x
    x = 65,704,427.13/8,050.66
  6. Step 6: Final answer
    x = 8,161.37

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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.