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Finding the Fourth Proportional to 8,089.41, 12,129.09 and 3,407.01

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Solution

The fourth proportional to 8,089.41, 12,129.09 and 3,407.01 is: 5,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.41 : 12,129.09 = 3,407.01 : x
  2. Step 2: Convert to fraction form
    8,089.41/12,129.09 = 3,407.01/x
  3. Step 3: Cross multiply
    8,089.41x = 12,129.09 × 3,407.01
  4. Step 4: Simplify right side
    8,089.41x = 41,323,872.66
  5. Step 5: Solve for x
    x = 41,323,872.66/8,089.41
  6. Step 6: Final answer
    x = 5,108.39

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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.