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Finding the Fourth Proportional to 7,762.81, 11,633.74 and 4,247.51

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Solution

The fourth proportional to 7,762.81, 11,633.74 and 4,247.51 is: 6,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.81 : 11,633.74 = 4,247.51 : x
  2. Step 2: Convert to fraction form
    7,762.81/11,633.74 = 4,247.51/x
  3. Step 3: Cross multiply
    7,762.81x = 11,633.74 × 4,247.51
  4. Step 4: Simplify right side
    7,762.81x = 49,414,426.99
  5. Step 5: Solve for x
    x = 49,414,426.99/7,762.81
  6. Step 6: Final answer
    x = 6,365.53

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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.