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Finding the Fourth Proportional to 11,590.68, 17,385.84 and 4,665

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Solution

The fourth proportional to 11,590.68, 17,385.84 and 4,665 is: 6,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.68 : 17,385.84 = 4,665 : x
  2. Step 2: Convert to fraction form
    11,590.68/17,385.84 = 4,665/x
  3. Step 3: Cross multiply
    11,590.68x = 17,385.84 × 4,665
  4. Step 4: Simplify right side
    11,590.68x = 81,104,943.60
  5. Step 5: Solve for x
    x = 81,104,943.60/11,590.68
  6. Step 6: Final answer
    x = 6,997.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.