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Finding the Fourth Proportional to 7,677.34, 11,456.12 and 6,849.92

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Solution

The fourth proportional to 7,677.34, 11,456.12 and 6,849.92 is: 10,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.34 : 11,456.12 = 6,849.92 : x
  2. Step 2: Convert to fraction form
    7,677.34/11,456.12 = 6,849.92/x
  3. Step 3: Cross multiply
    7,677.34x = 11,456.12 × 6,849.92
  4. Step 4: Simplify right side
    7,677.34x = 78,473,505.51
  5. Step 5: Solve for x
    x = 78,473,505.51/7,677.34
  6. Step 6: Final answer
    x = 10,221.44

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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.