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Finding the Fourth Proportional to 10,794.44, 16,180.32 and 4,946.24

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Solution

The fourth proportional to 10,794.44, 16,180.32 and 4,946.24 is: 7,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.44 : 16,180.32 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    10,794.44/16,180.32 = 4,946.24/x
  3. Step 3: Cross multiply
    10,794.44x = 16,180.32 × 4,946.24
  4. Step 4: Simplify right side
    10,794.44x = 80,031,746.00
  5. Step 5: Solve for x
    x = 80,031,746.00/10,794.44
  6. Step 6: Final answer
    x = 7,414.16

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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.