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Finding the Fourth Proportional to 8,216.59, 12,315.84 and 3,830.44

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Solution

The fourth proportional to 8,216.59, 12,315.84 and 3,830.44 is: 5,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.59 : 12,315.84 = 3,830.44 : x
  2. Step 2: Convert to fraction form
    8,216.59/12,315.84 = 3,830.44/x
  3. Step 3: Cross multiply
    8,216.59x = 12,315.84 × 3,830.44
  4. Step 4: Simplify right side
    8,216.59x = 47,175,086.17
  5. Step 5: Solve for x
    x = 47,175,086.17/8,216.59
  6. Step 6: Final answer
    x = 5,741.44

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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.