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Finding the Fourth Proportional to 7,477.72, 11,212.83 and 4,189.93

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Solution

The fourth proportional to 7,477.72, 11,212.83 and 4,189.93 is: 6,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.72 : 11,212.83 = 4,189.93 : x
  2. Step 2: Convert to fraction form
    7,477.72/11,212.83 = 4,189.93/x
  3. Step 3: Cross multiply
    7,477.72x = 11,212.83 × 4,189.93
  4. Step 4: Simplify right side
    7,477.72x = 46,980,944.77
  5. Step 5: Solve for x
    x = 46,980,944.77/7,477.72
  6. Step 6: Final answer
    x = 6,282.79

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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.