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Finding the Fourth Proportional to 8,261.96, 12,373.88 and 4,967.82

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Solution

The fourth proportional to 8,261.96, 12,373.88 and 4,967.82 is: 7,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.96 : 12,373.88 = 4,967.82 : x
  2. Step 2: Convert to fraction form
    8,261.96/12,373.88 = 4,967.82/x
  3. Step 3: Cross multiply
    8,261.96x = 12,373.88 × 4,967.82
  4. Step 4: Simplify right side
    8,261.96x = 61,471,208.54
  5. Step 5: Solve for x
    x = 61,471,208.54/8,261.96
  6. Step 6: Final answer
    x = 7,440.27

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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.