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Finding the Fourth Proportional to 8,570.57, 12,857.22 and 2,646.06

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Solution

The fourth proportional to 8,570.57, 12,857.22 and 2,646.06 is: 3,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.57 : 12,857.22 = 2,646.06 : x
  2. Step 2: Convert to fraction form
    8,570.57/12,857.22 = 2,646.06/x
  3. Step 3: Cross multiply
    8,570.57x = 12,857.22 × 2,646.06
  4. Step 4: Simplify right side
    8,570.57x = 34,020,968.94
  5. Step 5: Solve for x
    x = 34,020,968.94/8,570.57
  6. Step 6: Final answer
    x = 3,969.51

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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.