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Finding the Fourth Proportional to 10,838.13, 16,257.19 and 3,046.94

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Solution

The fourth proportional to 10,838.13, 16,257.19 and 3,046.94 is: 4,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.13 : 16,257.19 = 3,046.94 : x
  2. Step 2: Convert to fraction form
    10,838.13/16,257.19 = 3,046.94/x
  3. Step 3: Cross multiply
    10,838.13x = 16,257.19 × 3,046.94
  4. Step 4: Simplify right side
    10,838.13x = 49,534,682.50
  5. Step 5: Solve for x
    x = 49,534,682.50/10,838.13
  6. Step 6: Final answer
    x = 4,570.41

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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.