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Finding the Fourth Proportional to 8,884.18, 12,261.27 and 5,738.14

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Solution

The fourth proportional to 8,884.18, 12,261.27 and 5,738.14 is: 7,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.18 : 12,261.27 = 5,738.14 : x
  2. Step 2: Convert to fraction form
    8,884.18/12,261.27 = 5,738.14/x
  3. Step 3: Cross multiply
    8,884.18x = 12,261.27 × 5,738.14
  4. Step 4: Simplify right side
    8,884.18x = 70,356,883.84
  5. Step 5: Solve for x
    x = 70,356,883.84/8,884.18
  6. Step 6: Final answer
    x = 7,919.34

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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.