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Finding the Fourth Proportional to 10,794.24, 16,154.64 and 6,843.60

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Solution

The fourth proportional to 10,794.24, 16,154.64 and 6,843.60 is: 10,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.24 : 16,154.64 = 6,843.60 : x
  2. Step 2: Convert to fraction form
    10,794.24/16,154.64 = 6,843.60/x
  3. Step 3: Cross multiply
    10,794.24x = 16,154.64 × 6,843.60
  4. Step 4: Simplify right side
    10,794.24x = 110,555,894.30
  5. Step 5: Solve for x
    x = 110,555,894.30/10,794.24
  6. Step 6: Final answer
    x = 10,242.12

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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.