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Finding the Fourth Proportional to 11,924.80, 16,457.01 and 6,889.24

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Solution

The fourth proportional to 11,924.80, 16,457.01 and 6,889.24 is: 9,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.80 : 16,457.01 = 6,889.24 : x
  2. Step 2: Convert to fraction form
    11,924.80/16,457.01 = 6,889.24/x
  3. Step 3: Cross multiply
    11,924.80x = 16,457.01 × 6,889.24
  4. Step 4: Simplify right side
    11,924.80x = 113,376,193.74
  5. Step 5: Solve for x
    x = 113,376,193.74/11,924.80
  6. Step 6: Final answer
    x = 9,507.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.