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Finding the Fourth Proportional to 7,720.82, 11,572.20 and 6,845.00

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Solution

The fourth proportional to 7,720.82, 11,572.20 and 6,845.00 is: 10,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.82 : 11,572.20 = 6,845.00 : x
  2. Step 2: Convert to fraction form
    7,720.82/11,572.20 = 6,845.00/x
  3. Step 3: Cross multiply
    7,720.82x = 11,572.20 × 6,845.00
  4. Step 4: Simplify right side
    7,720.82x = 79,211,716.23
  5. Step 5: Solve for x
    x = 79,211,716.23/7,720.82
  6. Step 6: Final answer
    x = 10,259.49

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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.