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Finding the Fourth Proportional to 7,768.28, 11,654.04 and 2,574.20

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Solution

The fourth proportional to 7,768.28, 11,654.04 and 2,574.20 is: 3,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.28 : 11,654.04 = 2,574.20 : x
  2. Step 2: Convert to fraction form
    7,768.28/11,654.04 = 2,574.20/x
  3. Step 3: Cross multiply
    7,768.28x = 11,654.04 × 2,574.20
  4. Step 4: Simplify right side
    7,768.28x = 29,999,829.77
  5. Step 5: Solve for x
    x = 29,999,829.77/7,768.28
  6. Step 6: Final answer
    x = 3,861.84

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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.