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Finding the Fourth Proportional to 8,163, 11,264.98 and 4,437

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Solution

The fourth proportional to 8,163, 11,264.98 and 4,437 is: 6,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163 : 11,264.98 = 4,437 : x
  2. Step 2: Convert to fraction form
    8,163/11,264.98 = 4,437/x
  3. Step 3: Cross multiply
    8,163x = 11,264.98 × 4,437
  4. Step 4: Simplify right side
    8,163x = 49,982,716.26
  5. Step 5: Solve for x
    x = 49,982,716.26/8,163
  6. Step 6: Final answer
    x = 6,123.08

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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.