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Finding the Fourth Proportional to 11,365.44, 17,044.08 and 3,968

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Solution

The fourth proportional to 11,365.44, 17,044.08 and 3,968 is: 5,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.44 : 17,044.08 = 3,968 : x
  2. Step 2: Convert to fraction form
    11,365.44/17,044.08 = 3,968/x
  3. Step 3: Cross multiply
    11,365.44x = 17,044.08 × 3,968
  4. Step 4: Simplify right side
    11,365.44x = 67,630,909.44
  5. Step 5: Solve for x
    x = 67,630,909.44/11,365.44
  6. Step 6: Final answer
    x = 5,950.58

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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.