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Finding the Fourth Proportional to 7,697.00, 10,620.35 and 4,553.39

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Solution

The fourth proportional to 7,697.00, 10,620.35 and 4,553.39 is: 6,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.00 : 10,620.35 = 4,553.39 : x
  2. Step 2: Convert to fraction form
    7,697.00/10,620.35 = 4,553.39/x
  3. Step 3: Cross multiply
    7,697.00x = 10,620.35 × 4,553.39
  4. Step 4: Simplify right side
    7,697.00x = 48,358,616.35
  5. Step 5: Solve for x
    x = 48,358,616.35/7,697.00
  6. Step 6: Final answer
    x = 6,282.79

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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.