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Finding the Fourth Proportional to 10,635.25, 14,676.65 and 5,919.84

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Solution

The fourth proportional to 10,635.25, 14,676.65 and 5,919.84 is: 8,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.25 : 14,676.65 = 5,919.84 : x
  2. Step 2: Convert to fraction form
    10,635.25/14,676.65 = 5,919.84/x
  3. Step 3: Cross multiply
    10,635.25x = 14,676.65 × 5,919.84
  4. Step 4: Simplify right side
    10,635.25x = 86,883,419.74
  5. Step 5: Solve for x
    x = 86,883,419.74/10,635.25
  6. Step 6: Final answer
    x = 8,169.38

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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.