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Finding the Fourth Proportional to 7,651.70, 11,453.70 and 5,892.14

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Solution

The fourth proportional to 7,651.70, 11,453.70 and 5,892.14 is: 8,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.70 : 11,453.70 = 5,892.14 : x
  2. Step 2: Convert to fraction form
    7,651.70/11,453.70 = 5,892.14/x
  3. Step 3: Cross multiply
    7,651.70x = 11,453.70 × 5,892.14
  4. Step 4: Simplify right side
    7,651.70x = 67,486,803.92
  5. Step 5: Solve for x
    x = 67,486,803.92/7,651.70
  6. Step 6: Final answer
    x = 8,819.84

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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.