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Finding the Fourth Proportional to 10,739.52, 16,103.52 and 4,894.56

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Solution

The fourth proportional to 10,739.52, 16,103.52 and 4,894.56 is: 7,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.52 : 16,103.52 = 4,894.56 : x
  2. Step 2: Convert to fraction form
    10,739.52/16,103.52 = 4,894.56/x
  3. Step 3: Cross multiply
    10,739.52x = 16,103.52 × 4,894.56
  4. Step 4: Simplify right side
    10,739.52x = 78,819,644.85
  5. Step 5: Solve for x
    x = 78,819,644.85/10,739.52
  6. Step 6: Final answer
    x = 7,339.21

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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.