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Finding the Fourth Proportional to 8,761.24, 13,137.02 and 2,914.66

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Solution

The fourth proportional to 8,761.24, 13,137.02 and 2,914.66 is: 4,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.24 : 13,137.02 = 2,914.66 : x
  2. Step 2: Convert to fraction form
    8,761.24/13,137.02 = 2,914.66/x
  3. Step 3: Cross multiply
    8,761.24x = 13,137.02 × 2,914.66
  4. Step 4: Simplify right side
    8,761.24x = 38,289,946.71
  5. Step 5: Solve for x
    x = 38,289,946.71/8,761.24
  6. Step 6: Final answer
    x = 4,370.38

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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.