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Finding the Fourth Proportional to 8,570.94, 12,857.85 and 2,729.34

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Solution

The fourth proportional to 8,570.94, 12,857.85 and 2,729.34 is: 4,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.94 : 12,857.85 = 2,729.34 : x
  2. Step 2: Convert to fraction form
    8,570.94/12,857.85 = 2,729.34/x
  3. Step 3: Cross multiply
    8,570.94x = 12,857.85 × 2,729.34
  4. Step 4: Simplify right side
    8,570.94x = 35,093,444.32
  5. Step 5: Solve for x
    x = 35,093,444.32/8,570.94
  6. Step 6: Final answer
    x = 4,094.47

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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.