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Finding the Fourth Proportional to 8,205, 12,307.56 and 3,821.28

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Solution

The fourth proportional to 8,205, 12,307.56 and 3,821.28 is: 5,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 12,307.56 = 3,821.28 : x
  2. Step 2: Convert to fraction form
    8,205/12,307.56 = 3,821.28/x
  3. Step 3: Cross multiply
    8,205x = 12,307.56 × 3,821.28
  4. Step 4: Simplify right side
    8,205x = 47,030,632.88
  5. Step 5: Solve for x
    x = 47,030,632.88/8,205
  6. Step 6: Final answer
    x = 5,731.95

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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.