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Finding the Fourth Proportional to 11,190.80, 15,445.32 and 6,477.68

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Solution

The fourth proportional to 11,190.80, 15,445.32 and 6,477.68 is: 8,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,190.80 : 15,445.32 = 6,477.68 : x
  2. Step 2: Convert to fraction form
    11,190.80/15,445.32 = 6,477.68/x
  3. Step 3: Cross multiply
    11,190.80x = 15,445.32 × 6,477.68
  4. Step 4: Simplify right side
    11,190.80x = 100,049,840.46
  5. Step 5: Solve for x
    x = 100,049,840.46/11,190.80
  6. Step 6: Final answer
    x = 8,940.37

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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.