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Finding the Fourth Proportional to 7,701.39, 11,577.87 and 6,077.52

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Solution

The fourth proportional to 7,701.39, 11,577.87 and 6,077.52 is: 9,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.39 : 11,577.87 = 6,077.52 : x
  2. Step 2: Convert to fraction form
    7,701.39/11,577.87 = 6,077.52/x
  3. Step 3: Cross multiply
    7,701.39x = 11,577.87 × 6,077.52
  4. Step 4: Simplify right side
    7,701.39x = 70,364,736.48
  5. Step 5: Solve for x
    x = 70,364,736.48/7,701.39
  6. Step 6: Final answer
    x = 9,136.63

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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.