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Finding the Fourth Proportional to 10,663.88, 15,995.81 and 3,738.38

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Solution

The fourth proportional to 10,663.88, 15,995.81 and 3,738.38 is: 5,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.88 : 15,995.81 = 3,738.38 : x
  2. Step 2: Convert to fraction form
    10,663.88/15,995.81 = 3,738.38/x
  3. Step 3: Cross multiply
    10,663.88x = 15,995.81 × 3,738.38
  4. Step 4: Simplify right side
    10,663.88x = 59,798,345.55
  5. Step 5: Solve for x
    x = 59,798,345.55/10,663.88
  6. Step 6: Final answer
    x = 5,607.56

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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.