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Finding the Fourth Proportional to 7,740.87, 11,611.92 and 4,642.02

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Solution

The fourth proportional to 7,740.87, 11,611.92 and 4,642.02 is: 6,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.87 : 11,611.92 = 4,642.02 : x
  2. Step 2: Convert to fraction form
    7,740.87/11,611.92 = 4,642.02/x
  3. Step 3: Cross multiply
    7,740.87x = 11,611.92 × 4,642.02
  4. Step 4: Simplify right side
    7,740.87x = 53,902,764.88
  5. Step 5: Solve for x
    x = 53,902,764.88/7,740.87
  6. Step 6: Final answer
    x = 6,963.40

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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.