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Finding the Fourth Proportional to 7,735.11, 11,600.51 and 2,470.11

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Solution

The fourth proportional to 7,735.11, 11,600.51 and 2,470.11 is: 3,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.11 : 11,600.51 = 2,470.11 : x
  2. Step 2: Convert to fraction form
    7,735.11/11,600.51 = 2,470.11/x
  3. Step 3: Cross multiply
    7,735.11x = 11,600.51 × 2,470.11
  4. Step 4: Simplify right side
    7,735.11x = 28,654,523.41
  5. Step 5: Solve for x
    x = 28,654,523.41/7,735.11
  6. Step 6: Final answer
    x = 3,704.48

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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.