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Finding the Fourth Proportional to 8,411.49, 12,628.40 and 7,186.77

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Solution

The fourth proportional to 8,411.49, 12,628.40 and 7,186.77 is: 10,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.49 : 12,628.40 = 7,186.77 : x
  2. Step 2: Convert to fraction form
    8,411.49/12,628.40 = 7,186.77/x
  3. Step 3: Cross multiply
    8,411.49x = 12,628.40 × 7,186.77
  4. Step 4: Simplify right side
    8,411.49x = 90,757,370.33
  5. Step 5: Solve for x
    x = 90,757,370.33/8,411.49
  6. Step 6: Final answer
    x = 10,789.69

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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.