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Finding the Fourth Proportional to 8,262, 11,401.83 and 4,536

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Solution

The fourth proportional to 8,262, 11,401.83 and 4,536 is: 6,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 11,401.83 = 4,536 : x
  2. Step 2: Convert to fraction form
    8,262/11,401.83 = 4,536/x
  3. Step 3: Cross multiply
    8,262x = 11,401.83 × 4,536
  4. Step 4: Simplify right side
    8,262x = 51,718,700.88
  5. Step 5: Solve for x
    x = 51,718,700.88/8,262
  6. Step 6: Final answer
    x = 6,259.83

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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.