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Finding the Fourth Proportional to 7,756.77, 10,704.38 and 4,612.89

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Solution

The fourth proportional to 7,756.77, 10,704.38 and 4,612.89 is: 6,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.77 : 10,704.38 = 4,612.89 : x
  2. Step 2: Convert to fraction form
    7,756.77/10,704.38 = 4,612.89/x
  3. Step 3: Cross multiply
    7,756.77x = 10,704.38 × 4,612.89
  4. Step 4: Simplify right side
    7,756.77x = 49,378,104.39
  5. Step 5: Solve for x
    x = 49,378,104.39/7,756.77
  6. Step 6: Final answer
    x = 6,365.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.