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Finding the Fourth Proportional to 8,087.82, 12,128.32 and 3,409.93

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Solution

The fourth proportional to 8,087.82, 12,128.32 and 3,409.93 is: 5,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.82 : 12,128.32 = 3,409.93 : x
  2. Step 2: Convert to fraction form
    8,087.82/12,128.32 = 3,409.93/x
  3. Step 3: Cross multiply
    8,087.82x = 12,128.32 × 3,409.93
  4. Step 4: Simplify right side
    8,087.82x = 41,356,722.22
  5. Step 5: Solve for x
    x = 41,356,722.22/8,087.82
  6. Step 6: Final answer
    x = 5,113.46

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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.