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Finding the Fourth Proportional to 8,147.52, 11,244.28 and 4,611.42

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Solution

The fourth proportional to 8,147.52, 11,244.28 and 4,611.42 is: 6,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.52 : 11,244.28 = 4,611.42 : x
  2. Step 2: Convert to fraction form
    8,147.52/11,244.28 = 4,611.42/x
  3. Step 3: Cross multiply
    8,147.52x = 11,244.28 × 4,611.42
  4. Step 4: Simplify right side
    8,147.52x = 51,852,097.68
  5. Step 5: Solve for x
    x = 51,852,097.68/8,147.52
  6. Step 6: Final answer
    x = 6,364.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.