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Finding the Fourth Proportional to 7,657.83, 11,477.52 and 3,958.07

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Solution

The fourth proportional to 7,657.83, 11,477.52 and 3,958.07 is: 5,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.83 : 11,477.52 = 3,958.07 : x
  2. Step 2: Convert to fraction form
    7,657.83/11,477.52 = 3,958.07/x
  3. Step 3: Cross multiply
    7,657.83x = 11,477.52 × 3,958.07
  4. Step 4: Simplify right side
    7,657.83x = 45,428,770.20
  5. Step 5: Solve for x
    x = 45,428,770.20/7,657.83
  6. Step 6: Final answer
    x = 5,932.33

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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.