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Finding the Fourth Proportional to 11,628.74, 16,048.08 and 6,661.70

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Solution

The fourth proportional to 11,628.74, 16,048.08 and 6,661.70 is: 9,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.74 : 16,048.08 = 6,661.70 : x
  2. Step 2: Convert to fraction form
    11,628.74/16,048.08 = 6,661.70/x
  3. Step 3: Cross multiply
    11,628.74x = 16,048.08 × 6,661.70
  4. Step 4: Simplify right side
    11,628.74x = 106,907,486.97
  5. Step 5: Solve for x
    x = 106,907,486.97/11,628.74
  6. Step 6: Final answer
    x = 9,193.39

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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.