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Finding the Fourth Proportional to 7,720.93, 11,597.45 and 6,241.83

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Solution

The fourth proportional to 7,720.93, 11,597.45 and 6,241.83 is: 9,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.93 : 11,597.45 = 6,241.83 : x
  2. Step 2: Convert to fraction form
    7,720.93/11,597.45 = 6,241.83/x
  3. Step 3: Cross multiply
    7,720.93x = 11,597.45 × 6,241.83
  4. Step 4: Simplify right side
    7,720.93x = 72,389,236.63
  5. Step 5: Solve for x
    x = 72,389,236.63/7,720.93
  6. Step 6: Final answer
    x = 9,375.71

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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.