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Finding the Fourth Proportional to 10,662.54, 15,995.48 and 3,642.91

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Solution

The fourth proportional to 10,662.54, 15,995.48 and 3,642.91 is: 5,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.54 : 15,995.48 = 3,642.91 : x
  2. Step 2: Convert to fraction form
    10,662.54/15,995.48 = 3,642.91/x
  3. Step 3: Cross multiply
    10,662.54x = 15,995.48 × 3,642.91
  4. Step 4: Simplify right side
    10,662.54x = 58,270,094.05
  5. Step 5: Solve for x
    x = 58,270,094.05/10,662.54
  6. Step 6: Final answer
    x = 5,464.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.