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Finding the Fourth Proportional to 10,944.36, 15,095.52 and 7,169.88

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Solution

The fourth proportional to 10,944.36, 15,095.52 and 7,169.88 is: 9,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.36 : 15,095.52 = 7,169.88 : x
  2. Step 2: Convert to fraction form
    10,944.36/15,095.52 = 7,169.88/x
  3. Step 3: Cross multiply
    10,944.36x = 15,095.52 × 7,169.88
  4. Step 4: Simplify right side
    10,944.36x = 108,233,066.94
  5. Step 5: Solve for x
    x = 108,233,066.94/10,944.36
  6. Step 6: Final answer
    x = 9,889.39

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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.