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Finding the Fourth Proportional to 8,664.90, 11,954.36 and 5,682.39

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Solution

The fourth proportional to 8,664.90, 11,954.36 and 5,682.39 is: 7,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.90 : 11,954.36 = 5,682.39 : x
  2. Step 2: Convert to fraction form
    8,664.90/11,954.36 = 5,682.39/x
  3. Step 3: Cross multiply
    8,664.90x = 11,954.36 × 5,682.39
  4. Step 4: Simplify right side
    8,664.90x = 67,929,307.31
  5. Step 5: Solve for x
    x = 67,929,307.31/8,664.90
  6. Step 6: Final answer
    x = 7,839.60

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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.