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Finding the Fourth Proportional to 8,205.20, 12,307.80 and 3,823.10

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Solution

The fourth proportional to 8,205.20, 12,307.80 and 3,823.10 is: 5,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.20 : 12,307.80 = 3,823.10 : x
  2. Step 2: Convert to fraction form
    8,205.20/12,307.80 = 3,823.10/x
  3. Step 3: Cross multiply
    8,205.20x = 12,307.80 × 3,823.10
  4. Step 4: Simplify right side
    8,205.20x = 47,053,950.18
  5. Step 5: Solve for x
    x = 47,053,950.18/8,205.20
  6. Step 6: Final answer
    x = 5,734.65

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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.