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Finding the Fourth Proportional to 7,712.84, 11,575.20 and 4,016

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Solution

The fourth proportional to 7,712.84, 11,575.20 and 4,016 is: 6,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.84 : 11,575.20 = 4,016 : x
  2. Step 2: Convert to fraction form
    7,712.84/11,575.20 = 4,016/x
  3. Step 3: Cross multiply
    7,712.84x = 11,575.20 × 4,016
  4. Step 4: Simplify right side
    7,712.84x = 46,486,003.20
  5. Step 5: Solve for x
    x = 46,486,003.20/7,712.84
  6. Step 6: Final answer
    x = 6,027.09

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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.