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Finding the Fourth Proportional to 28,916.26, 43,375.90 and 8,141.38

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Solution

The fourth proportional to 28,916.26, 43,375.90 and 8,141.38 is: 12,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,916.26 : 43,375.90 = 8,141.38 : x
  2. Step 2: Convert to fraction form
    28,916.26/43,375.90 = 8,141.38/x
  3. Step 3: Cross multiply
    28,916.26x = 43,375.90 × 8,141.38
  4. Step 4: Simplify right side
    28,916.26x = 353,139,684.74
  5. Step 5: Solve for x
    x = 353,139,684.74/28,916.26
  6. Step 6: Final answer
    x = 12,212.50

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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.