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Finding the Fourth Proportional to 8,284.31, 11,431.50 and 5,097.80

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Solution

The fourth proportional to 8,284.31, 11,431.50 and 5,097.80 is: 7,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.31 : 11,431.50 = 5,097.80 : x
  2. Step 2: Convert to fraction form
    8,284.31/11,431.50 = 5,097.80/x
  3. Step 3: Cross multiply
    8,284.31x = 11,431.50 × 5,097.80
  4. Step 4: Simplify right side
    8,284.31x = 58,275,510.16
  5. Step 5: Solve for x
    x = 58,275,510.16/8,284.31
  6. Step 6: Final answer
    x = 7,034.44

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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.