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Finding the Fourth Proportional to 11,688.35, 17,535 and 3,791.30

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Solution

The fourth proportional to 11,688.35, 17,535 and 3,791.30 is: 5,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.35 : 17,535 = 3,791.30 : x
  2. Step 2: Convert to fraction form
    11,688.35/17,535 = 3,791.30/x
  3. Step 3: Cross multiply
    11,688.35x = 17,535 × 3,791.30
  4. Step 4: Simplify right side
    11,688.35x = 66,480,445.50
  5. Step 5: Solve for x
    x = 66,480,445.50/11,688.35
  6. Step 6: Final answer
    x = 5,687.75

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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.