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Finding the Fourth Proportional to 10,838.26, 16,255.54 and 3,045.25

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Solution

The fourth proportional to 10,838.26, 16,255.54 and 3,045.25 is: 4,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.26 : 16,255.54 = 3,045.25 : x
  2. Step 2: Convert to fraction form
    10,838.26/16,255.54 = 3,045.25/x
  3. Step 3: Cross multiply
    10,838.26x = 16,255.54 × 3,045.25
  4. Step 4: Simplify right side
    10,838.26x = 49,502,183.19
  5. Step 5: Solve for x
    x = 49,502,183.19/10,838.26
  6. Step 6: Final answer
    x = 4,567.36

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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.