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Finding the Fourth Proportional to 7,712.80, 11,571.02 and 3,330.30

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Solution

The fourth proportional to 7,712.80, 11,571.02 and 3,330.30 is: 4,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.80 : 11,571.02 = 3,330.30 : x
  2. Step 2: Convert to fraction form
    7,712.80/11,571.02 = 3,330.30/x
  3. Step 3: Cross multiply
    7,712.80x = 11,571.02 × 3,330.30
  4. Step 4: Simplify right side
    7,712.80x = 38,534,967.91
  5. Step 5: Solve for x
    x = 38,534,967.91/7,712.80
  6. Step 6: Final answer
    x = 4,996.24

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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.