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Finding the Fourth Proportional to 10,715.33, 16,074.05 and 4,477.29

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Solution

The fourth proportional to 10,715.33, 16,074.05 and 4,477.29 is: 6,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.33 : 16,074.05 = 4,477.29 : x
  2. Step 2: Convert to fraction form
    10,715.33/16,074.05 = 4,477.29/x
  3. Step 3: Cross multiply
    10,715.33x = 16,074.05 × 4,477.29
  4. Step 4: Simplify right side
    10,715.33x = 71,968,183.32
  5. Step 5: Solve for x
    x = 71,968,183.32/10,715.33
  6. Step 6: Final answer
    x = 6,716.38

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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.