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Finding the Fourth Proportional to 8,821.36, 13,225.74 and 4,138.75

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Solution

The fourth proportional to 8,821.36, 13,225.74 and 4,138.75 is: 6,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.36 : 13,225.74 = 4,138.75 : x
  2. Step 2: Convert to fraction form
    8,821.36/13,225.74 = 4,138.75/x
  3. Step 3: Cross multiply
    8,821.36x = 13,225.74 × 4,138.75
  4. Step 4: Simplify right side
    8,821.36x = 54,738,031.43
  5. Step 5: Solve for x
    x = 54,738,031.43/8,821.36
  6. Step 6: Final answer
    x = 6,205.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.