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Finding the Fourth Proportional to 8,089.83, 12,131.31 and 3,411.93

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Solution

The fourth proportional to 8,089.83, 12,131.31 and 3,411.93 is: 5,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.83 : 12,131.31 = 3,411.93 : x
  2. Step 2: Convert to fraction form
    8,089.83/12,131.31 = 3,411.93/x
  3. Step 3: Cross multiply
    8,089.83x = 12,131.31 × 3,411.93
  4. Step 4: Simplify right side
    8,089.83x = 41,391,180.53
  5. Step 5: Solve for x
    x = 41,391,180.53/8,089.83
  6. Step 6: Final answer
    x = 5,116.45

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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.