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Finding the Fourth Proportional to 8,065.42, 12,098.58 and 2,519.53

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Solution

The fourth proportional to 8,065.42, 12,098.58 and 2,519.53 is: 3,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.42 : 12,098.58 = 2,519.53 : x
  2. Step 2: Convert to fraction form
    8,065.42/12,098.58 = 2,519.53/x
  3. Step 3: Cross multiply
    8,065.42x = 12,098.58 × 2,519.53
  4. Step 4: Simplify right side
    8,065.42x = 30,482,735.27
  5. Step 5: Solve for x
    x = 30,482,735.27/8,065.42
  6. Step 6: Final answer
    x = 3,779.44

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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.