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Finding the Fourth Proportional to 7,902.64, 11,858.10 and 5,128.66

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Solution

The fourth proportional to 7,902.64, 11,858.10 and 5,128.66 is: 7,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.64 : 11,858.10 = 5,128.66 : x
  2. Step 2: Convert to fraction form
    7,902.64/11,858.10 = 5,128.66/x
  3. Step 3: Cross multiply
    7,902.64x = 11,858.10 × 5,128.66
  4. Step 4: Simplify right side
    7,902.64x = 60,816,163.15
  5. Step 5: Solve for x
    x = 60,816,163.15/7,902.64
  6. Step 6: Final answer
    x = 7,695.68

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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.