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Finding the Fourth Proportional to 11,213.84, 16,801.63 and 7,920.59

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Solution

The fourth proportional to 11,213.84, 16,801.63 and 7,920.59 is: 11,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.84 : 16,801.63 = 7,920.59 : x
  2. Step 2: Convert to fraction form
    11,213.84/16,801.63 = 7,920.59/x
  3. Step 3: Cross multiply
    11,213.84x = 16,801.63 × 7,920.59
  4. Step 4: Simplify right side
    11,213.84x = 133,078,718.75
  5. Step 5: Solve for x
    x = 133,078,718.75/11,213.84
  6. Step 6: Final answer
    x = 11,867.36

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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.