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Finding the Fourth Proportional to 11,109.30, 16,672.05 and 7,828.80

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Solution

The fourth proportional to 11,109.30, 16,672.05 and 7,828.80 is: 11,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.30 : 16,672.05 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    11,109.30/16,672.05 = 7,828.80/x
  3. Step 3: Cross multiply
    11,109.30x = 16,672.05 × 7,828.80
  4. Step 4: Simplify right side
    11,109.30x = 130,522,145.04
  5. Step 5: Solve for x
    x = 130,522,145.04/11,109.30
  6. Step 6: Final answer
    x = 11,748.91

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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.