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Finding the Fourth Proportional to 8,697.74, 13,049.01 and 3,768.11

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Solution

The fourth proportional to 8,697.74, 13,049.01 and 3,768.11 is: 5,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.74 : 13,049.01 = 3,768.11 : x
  2. Step 2: Convert to fraction form
    8,697.74/13,049.01 = 3,768.11/x
  3. Step 3: Cross multiply
    8,697.74x = 13,049.01 × 3,768.11
  4. Step 4: Simplify right side
    8,697.74x = 49,170,105.07
  5. Step 5: Solve for x
    x = 49,170,105.07/8,697.74
  6. Step 6: Final answer
    x = 5,653.20

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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.