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Finding the Fourth Proportional to 8,090.88, 11,165.16 and 4,554

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Solution

The fourth proportional to 8,090.88, 11,165.16 and 4,554 is: 6,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.88 : 11,165.16 = 4,554 : x
  2. Step 2: Convert to fraction form
    8,090.88/11,165.16 = 4,554/x
  3. Step 3: Cross multiply
    8,090.88x = 11,165.16 × 4,554
  4. Step 4: Simplify right side
    8,090.88x = 50,846,138.64
  5. Step 5: Solve for x
    x = 50,846,138.64/8,090.88
  6. Step 6: Final answer
    x = 6,284.38

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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.