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Finding the Fourth Proportional to 8,083.59, 12,132.69 and 3,407.07

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Solution

The fourth proportional to 8,083.59, 12,132.69 and 3,407.07 is: 5,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.59 : 12,132.69 = 3,407.07 : x
  2. Step 2: Convert to fraction form
    8,083.59/12,132.69 = 3,407.07/x
  3. Step 3: Cross multiply
    8,083.59x = 12,132.69 × 3,407.07
  4. Step 4: Simplify right side
    8,083.59x = 41,336,924.12
  5. Step 5: Solve for x
    x = 41,336,924.12/8,083.59
  6. Step 6: Final answer
    x = 5,113.68

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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.