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Finding the Fourth Proportional to 7,986.72, 11,023.52 and 4,842.24

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Solution

The fourth proportional to 7,986.72, 11,023.52 and 4,842.24 is: 6,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.72 : 11,023.52 = 4,842.24 : x
  2. Step 2: Convert to fraction form
    7,986.72/11,023.52 = 4,842.24/x
  3. Step 3: Cross multiply
    7,986.72x = 11,023.52 × 4,842.24
  4. Step 4: Simplify right side
    7,986.72x = 53,378,529.48
  5. Step 5: Solve for x
    x = 53,378,529.48/7,986.72
  6. Step 6: Final answer
    x = 6,683.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.