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Finding the Fourth Proportional to 7,840.62, 11,760.93 and 2,650.14

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Solution

The fourth proportional to 7,840.62, 11,760.93 and 2,650.14 is: 3,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.62 : 11,760.93 = 2,650.14 : x
  2. Step 2: Convert to fraction form
    7,840.62/11,760.93 = 2,650.14/x
  3. Step 3: Cross multiply
    7,840.62x = 11,760.93 × 2,650.14
  4. Step 4: Simplify right side
    7,840.62x = 31,168,111.03
  5. Step 5: Solve for x
    x = 31,168,111.03/7,840.62
  6. Step 6: Final answer
    x = 3,975.21

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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.