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Finding the Fourth Proportional to 8,261.38, 11,393.13 and 5,427.63

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Solution

The fourth proportional to 8,261.38, 11,393.13 and 5,427.63 is: 7,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.38 : 11,393.13 = 5,427.63 : x
  2. Step 2: Convert to fraction form
    8,261.38/11,393.13 = 5,427.63/x
  3. Step 3: Cross multiply
    8,261.38x = 11,393.13 × 5,427.63
  4. Step 4: Simplify right side
    8,261.38x = 61,837,694.18
  5. Step 5: Solve for x
    x = 61,837,694.18/8,261.38
  6. Step 6: Final answer
    x = 7,485.15

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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.