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Finding the Fourth Proportional to 11,024.64, 16,519.68 and 6,912

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Solution

The fourth proportional to 11,024.64, 16,519.68 and 6,912 is: 10,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.64 : 16,519.68 = 6,912 : x
  2. Step 2: Convert to fraction form
    11,024.64/16,519.68 = 6,912/x
  3. Step 3: Cross multiply
    11,024.64x = 16,519.68 × 6,912
  4. Step 4: Simplify right side
    11,024.64x = 114,184,028.16
  5. Step 5: Solve for x
    x = 114,184,028.16/11,024.64
  6. Step 6: Final answer
    x = 10,357.17

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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.