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Finding the Fourth Proportional to 8,261.39, 11,366.93 and 7,138.73

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Solution

The fourth proportional to 8,261.39, 11,366.93 and 7,138.73 is: 9,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.39 : 11,366.93 = 7,138.73 : x
  2. Step 2: Convert to fraction form
    8,261.39/11,366.93 = 7,138.73/x
  3. Step 3: Cross multiply
    8,261.39x = 11,366.93 × 7,138.73
  4. Step 4: Simplify right side
    8,261.39x = 81,145,490.46
  5. Step 5: Solve for x
    x = 81,145,490.46/8,261.39
  6. Step 6: Final answer
    x = 9,822.25

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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.