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Finding the Fourth Proportional to 10,544.92, 15,817.34 and 2,753.72

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Solution

The fourth proportional to 10,544.92, 15,817.34 and 2,753.72 is: 4,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.92 : 15,817.34 = 2,753.72 : x
  2. Step 2: Convert to fraction form
    10,544.92/15,817.34 = 2,753.72/x
  3. Step 3: Cross multiply
    10,544.92x = 15,817.34 × 2,753.72
  4. Step 4: Simplify right side
    10,544.92x = 43,556,525.50
  5. Step 5: Solve for x
    x = 43,556,525.50/10,544.92
  6. Step 6: Final answer
    x = 4,130.57

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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.