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Finding the Fourth Proportional to 7,720.77, 11,553.48 and 6,684.35

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Solution

The fourth proportional to 7,720.77, 11,553.48 and 6,684.35 is: 10,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.77 : 11,553.48 = 6,684.35 : x
  2. Step 2: Convert to fraction form
    7,720.77/11,553.48 = 6,684.35/x
  3. Step 3: Cross multiply
    7,720.77x = 11,553.48 × 6,684.35
  4. Step 4: Simplify right side
    7,720.77x = 77,227,446.27
  5. Step 5: Solve for x
    x = 77,227,446.27/7,720.77
  6. Step 6: Final answer
    x = 10,002.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.