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Finding the Fourth Proportional to 7,677.09, 11,455.76 and 6,849.68

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Solution

The fourth proportional to 7,677.09, 11,455.76 and 6,849.68 is: 10,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.09 : 11,455.76 = 6,849.68 : x
  2. Step 2: Convert to fraction form
    7,677.09/11,455.76 = 6,849.68/x
  3. Step 3: Cross multiply
    7,677.09x = 11,455.76 × 6,849.68
  4. Step 4: Simplify right side
    7,677.09x = 78,468,198.63
  5. Step 5: Solve for x
    x = 78,468,198.63/7,677.09
  6. Step 6: Final answer
    x = 10,221.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.