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Finding the Fourth Proportional to 8,761.40, 12,091.92 and 5,224.40

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Solution

The fourth proportional to 8,761.40, 12,091.92 and 5,224.40 is: 7,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.40 : 12,091.92 = 5,224.40 : x
  2. Step 2: Convert to fraction form
    8,761.40/12,091.92 = 5,224.40/x
  3. Step 3: Cross multiply
    8,761.40x = 12,091.92 × 5,224.40
  4. Step 4: Simplify right side
    8,761.40x = 63,173,026.85
  5. Step 5: Solve for x
    x = 63,173,026.85/8,761.40
  6. Step 6: Final answer
    x = 7,210.38

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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.