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Finding the Fourth Proportional to 7,757.10, 11,611.35 and 6,104.70

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Solution

The fourth proportional to 7,757.10, 11,611.35 and 6,104.70 is: 9,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.10 : 11,611.35 = 6,104.70 : x
  2. Step 2: Convert to fraction form
    7,757.10/11,611.35 = 6,104.70/x
  3. Step 3: Cross multiply
    7,757.10x = 11,611.35 × 6,104.70
  4. Step 4: Simplify right side
    7,757.10x = 70,883,808.35
  5. Step 5: Solve for x
    x = 70,883,808.35/7,757.10
  6. Step 6: Final answer
    x = 9,137.93

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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.