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Finding the Fourth Proportional to 7,769.84, 11,652.24 and 2,574.50

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Solution

The fourth proportional to 7,769.84, 11,652.24 and 2,574.50 is: 3,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.84 : 11,652.24 = 2,574.50 : x
  2. Step 2: Convert to fraction form
    7,769.84/11,652.24 = 2,574.50/x
  3. Step 3: Cross multiply
    7,769.84x = 11,652.24 × 2,574.50
  4. Step 4: Simplify right side
    7,769.84x = 29,998,691.88
  5. Step 5: Solve for x
    x = 29,998,691.88/7,769.84
  6. Step 6: Final answer
    x = 3,860.92

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Why These Related Problems?

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