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Finding the Fourth Proportional to 8,238.24, 12,399.12 and 7,433.28

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Solution

The fourth proportional to 8,238.24, 12,399.12 and 7,433.28 is: 11,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.24 : 12,399.12 = 7,433.28 : x
  2. Step 2: Convert to fraction form
    8,238.24/12,399.12 = 7,433.28/x
  3. Step 3: Cross multiply
    8,238.24x = 12,399.12 × 7,433.28
  4. Step 4: Simplify right side
    8,238.24x = 92,166,130.71
  5. Step 5: Solve for x
    x = 92,166,130.71/8,238.24
  6. Step 6: Final answer
    x = 11,187.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.