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Finding the Fourth Proportional to 8,223.54, 11,347.47 and 5,238.15

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Solution

The fourth proportional to 8,223.54, 11,347.47 and 5,238.15 is: 7,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.54 : 11,347.47 = 5,238.15 : x
  2. Step 2: Convert to fraction form
    8,223.54/11,347.47 = 5,238.15/x
  3. Step 3: Cross multiply
    8,223.54x = 11,347.47 × 5,238.15
  4. Step 4: Simplify right side
    8,223.54x = 59,439,749.98
  5. Step 5: Solve for x
    x = 59,439,749.98/8,223.54
  6. Step 6: Final answer
    x = 7,228.00

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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.