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Finding the Fourth Proportional to 7,712.82, 11,570.14 and 2,784.78

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Solution

The fourth proportional to 7,712.82, 11,570.14 and 2,784.78 is: 4,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.82 : 11,570.14 = 2,784.78 : x
  2. Step 2: Convert to fraction form
    7,712.82/11,570.14 = 2,784.78/x
  3. Step 3: Cross multiply
    7,712.82x = 11,570.14 × 2,784.78
  4. Step 4: Simplify right side
    7,712.82x = 32,220,297.95
  5. Step 5: Solve for x
    x = 32,220,297.95/7,712.82
  6. Step 6: Final answer
    x = 4,177.50

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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.