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Finding the Fourth Proportional to 7,647.77, 11,463.66 and 3,693.15

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Solution

The fourth proportional to 7,647.77, 11,463.66 and 3,693.15 is: 5,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.77 : 11,463.66 = 3,693.15 : x
  2. Step 2: Convert to fraction form
    7,647.77/11,463.66 = 3,693.15/x
  3. Step 3: Cross multiply
    7,647.77x = 11,463.66 × 3,693.15
  4. Step 4: Simplify right side
    7,647.77x = 42,337,015.93
  5. Step 5: Solve for x
    x = 42,337,015.93/7,647.77
  6. Step 6: Final answer
    x = 5,535.86

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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.