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Finding the Fourth Proportional to 8,142.76, 12,215.58 and 2,597.32

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Solution

The fourth proportional to 8,142.76, 12,215.58 and 2,597.32 is: 3,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.76 : 12,215.58 = 2,597.32 : x
  2. Step 2: Convert to fraction form
    8,142.76/12,215.58 = 2,597.32/x
  3. Step 3: Cross multiply
    8,142.76x = 12,215.58 × 2,597.32
  4. Step 4: Simplify right side
    8,142.76x = 31,727,770.25
  5. Step 5: Solve for x
    x = 31,727,770.25/8,142.76
  6. Step 6: Final answer
    x = 3,896.44

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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.