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Finding the Fourth Proportional to 8,257.15, 11,361.06 and 7,134.49

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Solution

The fourth proportional to 8,257.15, 11,361.06 and 7,134.49 is: 9,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.15 : 11,361.06 = 7,134.49 : x
  2. Step 2: Convert to fraction form
    8,257.15/11,361.06 = 7,134.49/x
  3. Step 3: Cross multiply
    8,257.15x = 11,361.06 × 7,134.49
  4. Step 4: Simplify right side
    8,257.15x = 81,055,368.96
  5. Step 5: Solve for x
    x = 81,055,368.96/8,257.15
  6. Step 6: Final answer
    x = 9,816.39

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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.