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Finding the Fourth Proportional to 8,061.76, 11,125.38 and 4,524.76

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Solution

The fourth proportional to 8,061.76, 11,125.38 and 4,524.76 is: 6,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.76 : 11,125.38 = 4,524.76 : x
  2. Step 2: Convert to fraction form
    8,061.76/11,125.38 = 4,524.76/x
  3. Step 3: Cross multiply
    8,061.76x = 11,125.38 × 4,524.76
  4. Step 4: Simplify right side
    8,061.76x = 50,339,674.41
  5. Step 5: Solve for x
    x = 50,339,674.41/8,061.76
  6. Step 6: Final answer
    x = 6,244.25

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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.