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Finding the Fourth Proportional to 8,002.60, 11,993.70 and 4,492.60

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Solution

The fourth proportional to 8,002.60, 11,993.70 and 4,492.60 is: 6,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.60 : 11,993.70 = 4,492.60 : x
  2. Step 2: Convert to fraction form
    8,002.60/11,993.70 = 4,492.60/x
  3. Step 3: Cross multiply
    8,002.60x = 11,993.70 × 4,492.60
  4. Step 4: Simplify right side
    8,002.60x = 53,882,896.62
  5. Step 5: Solve for x
    x = 53,882,896.62/8,002.60
  6. Step 6: Final answer
    x = 6,733.17

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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.