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Finding the Fourth Proportional to 10,898.87, 16,357.07 and 5,635.43

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Solution

The fourth proportional to 10,898.87, 16,357.07 and 5,635.43 is: 8,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.87 : 16,357.07 = 5,635.43 : x
  2. Step 2: Convert to fraction form
    10,898.87/16,357.07 = 5,635.43/x
  3. Step 3: Cross multiply
    10,898.87x = 16,357.07 × 5,635.43
  4. Step 4: Simplify right side
    10,898.87x = 92,179,122.99
  5. Step 5: Solve for x
    x = 92,179,122.99/10,898.87
  6. Step 6: Final answer
    x = 8,457.68

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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.