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Finding the Fourth Proportional to 8,238.72, 11,364.20 and 5,406.28

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Solution

The fourth proportional to 8,238.72, 11,364.20 and 5,406.28 is: 7,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.72 : 11,364.20 = 5,406.28 : x
  2. Step 2: Convert to fraction form
    8,238.72/11,364.20 = 5,406.28/x
  3. Step 3: Cross multiply
    8,238.72x = 11,364.20 × 5,406.28
  4. Step 4: Simplify right side
    8,238.72x = 61,438,047.18
  5. Step 5: Solve for x
    x = 61,438,047.18/8,238.72
  6. Step 6: Final answer
    x = 7,457.23

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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.