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Finding the Fourth Proportional to 8,027.70, 12,045.15 and 3,642.90

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Solution

The fourth proportional to 8,027.70, 12,045.15 and 3,642.90 is: 5,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.70 : 12,045.15 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    8,027.70/12,045.15 = 3,642.90/x
  3. Step 3: Cross multiply
    8,027.70x = 12,045.15 × 3,642.90
  4. Step 4: Simplify right side
    8,027.70x = 43,879,276.94
  5. Step 5: Solve for x
    x = 43,879,276.94/8,027.70
  6. Step 6: Final answer
    x = 5,465.98

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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.