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Finding the Fourth Proportional to 10,767.69, 16,137.55 and 5,213.32

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Solution

The fourth proportional to 10,767.69, 16,137.55 and 5,213.32 is: 7,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.69 : 16,137.55 = 5,213.32 : x
  2. Step 2: Convert to fraction form
    10,767.69/16,137.55 = 5,213.32/x
  3. Step 3: Cross multiply
    10,767.69x = 16,137.55 × 5,213.32
  4. Step 4: Simplify right side
    10,767.69x = 84,130,212.17
  5. Step 5: Solve for x
    x = 84,130,212.17/10,767.69
  6. Step 6: Final answer
    x = 7,813.21

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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.