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Finding the Fourth Proportional to 8,674.93, 11,977.25 and 5,695.82

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Solution

The fourth proportional to 8,674.93, 11,977.25 and 5,695.82 is: 7,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.93 : 11,977.25 = 5,695.82 : x
  2. Step 2: Convert to fraction form
    8,674.93/11,977.25 = 5,695.82/x
  3. Step 3: Cross multiply
    8,674.93x = 11,977.25 × 5,695.82
  4. Step 4: Simplify right side
    8,674.93x = 68,220,260.10
  5. Step 5: Solve for x
    x = 68,220,260.10/8,674.93
  6. Step 6: Final answer
    x = 7,864.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.