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Finding the Fourth Proportional to 8,585.44, 12,884 and 3,968.48

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Solution

The fourth proportional to 8,585.44, 12,884 and 3,968.48 is: 5,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.44 : 12,884 = 3,968.48 : x
  2. Step 2: Convert to fraction form
    8,585.44/12,884 = 3,968.48/x
  3. Step 3: Cross multiply
    8,585.44x = 12,884 × 3,968.48
  4. Step 4: Simplify right side
    8,585.44x = 51,129,896.32
  5. Step 5: Solve for x
    x = 51,129,896.32/8,585.44
  6. Step 6: Final answer
    x = 5,955.42

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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.