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Finding the Fourth Proportional to 10,838, 16,257.58 and 3,443.04

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Solution

The fourth proportional to 10,838, 16,257.58 and 3,443.04 is: 5,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838 : 16,257.58 = 3,443.04 : x
  2. Step 2: Convert to fraction form
    10,838/16,257.58 = 3,443.04/x
  3. Step 3: Cross multiply
    10,838x = 16,257.58 × 3,443.04
  4. Step 4: Simplify right side
    10,838x = 55,975,498.24
  5. Step 5: Solve for x
    x = 55,975,498.24/10,838
  6. Step 6: Final answer
    x = 5,164.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.