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Finding the Fourth Proportional to 10,634.64, 14,676.48 and 5,919.24

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Solution

The fourth proportional to 10,634.64, 14,676.48 and 5,919.24 is: 8,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.64 : 14,676.48 = 5,919.24 : x
  2. Step 2: Convert to fraction form
    10,634.64/14,676.48 = 5,919.24/x
  3. Step 3: Cross multiply
    10,634.64x = 14,676.48 × 5,919.24
  4. Step 4: Simplify right side
    10,634.64x = 86,873,607.48
  5. Step 5: Solve for x
    x = 86,873,607.48/10,634.64
  6. Step 6: Final answer
    x = 8,168.93

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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.