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Finding the Fourth Proportional to 28,689.50, 43,034.26 and 7,913

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Solution

The fourth proportional to 28,689.50, 43,034.26 and 7,913 is: 11,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,689.50 : 43,034.26 = 7,913 : x
  2. Step 2: Convert to fraction form
    28,689.50/43,034.26 = 7,913/x
  3. Step 3: Cross multiply
    28,689.50x = 43,034.26 × 7,913
  4. Step 4: Simplify right side
    28,689.50x = 340,530,099.38
  5. Step 5: Solve for x
    x = 340,530,099.38/28,689.50
  6. Step 6: Final answer
    x = 11,869.50

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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.