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Finding the Fourth Proportional to 8,411.37, 12,628.21 and 7,186.65

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Solution

The fourth proportional to 8,411.37, 12,628.21 and 7,186.65 is: 10,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.37 : 12,628.21 = 7,186.65 : x
  2. Step 2: Convert to fraction form
    8,411.37/12,628.21 = 7,186.65/x
  3. Step 3: Cross multiply
    8,411.37x = 12,628.21 × 7,186.65
  4. Step 4: Simplify right side
    8,411.37x = 90,754,444.29
  5. Step 5: Solve for x
    x = 90,754,444.29/8,411.37
  6. Step 6: Final answer
    x = 10,789.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.