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Finding the Fourth Proportional to 8,264.50, 11,401.76 and 4,725.81

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Solution

The fourth proportional to 8,264.50, 11,401.76 and 4,725.81 is: 6,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.50 : 11,401.76 = 4,725.81 : x
  2. Step 2: Convert to fraction form
    8,264.50/11,401.76 = 4,725.81/x
  3. Step 3: Cross multiply
    8,264.50x = 11,401.76 × 4,725.81
  4. Step 4: Simplify right side
    8,264.50x = 53,882,563.24
  5. Step 5: Solve for x
    x = 53,882,563.24/8,264.50
  6. Step 6: Final answer
    x = 6,519.76

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