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Finding the Fourth Proportional to 11,216.45, 15,478.19 and 6,180.44

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Solution

The fourth proportional to 11,216.45, 15,478.19 and 6,180.44 is: 8,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.45 : 15,478.19 = 6,180.44 : x
  2. Step 2: Convert to fraction form
    11,216.45/15,478.19 = 6,180.44/x
  3. Step 3: Cross multiply
    11,216.45x = 15,478.19 × 6,180.44
  4. Step 4: Simplify right side
    11,216.45x = 95,661,916.31
  5. Step 5: Solve for x
    x = 95,661,916.31/11,216.45
  6. Step 6: Final answer
    x = 8,528.72

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Why These Related Problems?

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