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Finding the Fourth Proportional to 8,223.50, 11,348.70 and 4,497.50

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Solution

The fourth proportional to 8,223.50, 11,348.70 and 4,497.50 is: 6,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.50 : 11,348.70 = 4,497.50 : x
  2. Step 2: Convert to fraction form
    8,223.50/11,348.70 = 4,497.50/x
  3. Step 3: Cross multiply
    8,223.50x = 11,348.70 × 4,497.50
  4. Step 4: Simplify right side
    8,223.50x = 51,040,778.25
  5. Step 5: Solve for x
    x = 51,040,778.25/8,223.50
  6. Step 6: Final answer
    x = 6,206.70

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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.