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Finding the Fourth Proportional to 10,116.44, 15,174.66 and 3,544.50

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Solution

The fourth proportional to 10,116.44, 15,174.66 and 3,544.50 is: 5,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.44 : 15,174.66 = 3,544.50 : x
  2. Step 2: Convert to fraction form
    10,116.44/15,174.66 = 3,544.50/x
  3. Step 3: Cross multiply
    10,116.44x = 15,174.66 × 3,544.50
  4. Step 4: Simplify right side
    10,116.44x = 53,786,582.37
  5. Step 5: Solve for x
    x = 53,786,582.37/10,116.44
  6. Step 6: Final answer
    x = 5,316.75

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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.