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Finding the Fourth Proportional to 7,723.38, 11,485.71 and 7,477.34

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Solution

The fourth proportional to 7,723.38, 11,485.71 and 7,477.34 is: 11,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.38 : 11,485.71 = 7,477.34 : x
  2. Step 2: Convert to fraction form
    7,723.38/11,485.71 = 7,477.34/x
  3. Step 3: Cross multiply
    7,723.38x = 11,485.71 × 7,477.34
  4. Step 4: Simplify right side
    7,723.38x = 85,882,464.00
  5. Step 5: Solve for x
    x = 85,882,464.00/7,723.38
  6. Step 6: Final answer
    x = 11,119.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.