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Finding the Fourth Proportional to 8,903.08, 12,286.34 and 5,177

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Solution

The fourth proportional to 8,903.08, 12,286.34 and 5,177 is: 7,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.08 : 12,286.34 = 5,177 : x
  2. Step 2: Convert to fraction form
    8,903.08/12,286.34 = 5,177/x
  3. Step 3: Cross multiply
    8,903.08x = 12,286.34 × 5,177
  4. Step 4: Simplify right side
    8,903.08x = 63,606,382.18
  5. Step 5: Solve for x
    x = 63,606,382.18/8,903.08
  6. Step 6: Final answer
    x = 7,144.31

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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.