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Finding the Fourth Proportional to 11,646.45, 16,074.65 and 7,668

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Solution

The fourth proportional to 11,646.45, 16,074.65 and 7,668 is: 10,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.45 : 16,074.65 = 7,668 : x
  2. Step 2: Convert to fraction form
    11,646.45/16,074.65 = 7,668/x
  3. Step 3: Cross multiply
    11,646.45x = 16,074.65 × 7,668
  4. Step 4: Simplify right side
    11,646.45x = 123,260,435.37
  5. Step 5: Solve for x
    x = 123,260,435.37/11,646.45
  6. Step 6: Final answer
    x = 10,583.52

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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.