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Finding the Fourth Proportional to 11,659.85, 16,090.52 and 6,354.66

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Solution

The fourth proportional to 11,659.85, 16,090.52 and 6,354.66 is: 8,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.85 : 16,090.52 = 6,354.66 : x
  2. Step 2: Convert to fraction form
    11,659.85/16,090.52 = 6,354.66/x
  3. Step 3: Cross multiply
    11,659.85x = 16,090.52 × 6,354.66
  4. Step 4: Simplify right side
    11,659.85x = 102,249,752.05
  5. Step 5: Solve for x
    x = 102,249,752.05/11,659.85
  6. Step 6: Final answer
    x = 8,769.39

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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.