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Finding the Fourth Proportional to 8,570.97, 12,860.27 and 5,450.13

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Solution

The fourth proportional to 8,570.97, 12,860.27 and 5,450.13 is: 8,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.97 : 12,860.27 = 5,450.13 : x
  2. Step 2: Convert to fraction form
    8,570.97/12,860.27 = 5,450.13/x
  3. Step 3: Cross multiply
    8,570.97x = 12,860.27 × 5,450.13
  4. Step 4: Simplify right side
    8,570.97x = 70,090,116.08
  5. Step 5: Solve for x
    x = 70,090,116.08/8,570.97
  6. Step 6: Final answer
    x = 8,177.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.