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Finding the Fourth Proportional to 11,995.38, 16,561.34 and 7,748.36

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Solution

The fourth proportional to 11,995.38, 16,561.34 and 7,748.36 is: 10,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.38 : 16,561.34 = 7,748.36 : x
  2. Step 2: Convert to fraction form
    11,995.38/16,561.34 = 7,748.36/x
  3. Step 3: Cross multiply
    11,995.38x = 16,561.34 × 7,748.36
  4. Step 4: Simplify right side
    11,995.38x = 128,323,224.40
  5. Step 5: Solve for x
    x = 128,323,224.40/11,995.38
  6. Step 6: Final answer
    x = 10,697.72

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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.