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Finding the Fourth Proportional to 8,777, 13,163.88 and 2,535.46

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Solution

The fourth proportional to 8,777, 13,163.88 and 2,535.46 is: 3,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777 : 13,163.88 = 2,535.46 : x
  2. Step 2: Convert to fraction form
    8,777/13,163.88 = 2,535.46/x
  3. Step 3: Cross multiply
    8,777x = 13,163.88 × 2,535.46
  4. Step 4: Simplify right side
    8,777x = 33,376,491.18
  5. Step 5: Solve for x
    x = 33,376,491.18/8,777
  6. Step 6: Final answer
    x = 3,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.