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Finding the Fourth Proportional to 11,484, 15,845.44 and 6,766.56

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Solution

The fourth proportional to 11,484, 15,845.44 and 6,766.56 is: 9,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 15,845.44 = 6,766.56 : x
  2. Step 2: Convert to fraction form
    11,484/15,845.44 = 6,766.56/x
  3. Step 3: Cross multiply
    11,484x = 15,845.44 × 6,766.56
  4. Step 4: Simplify right side
    11,484x = 107,219,120.49
  5. Step 5: Solve for x
    x = 107,219,120.49/11,484
  6. Step 6: Final answer
    x = 9,336.39

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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.