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Finding the Fourth Proportional to 10,793.26, 14,893.50 and 6,077.44

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Solution

The fourth proportional to 10,793.26, 14,893.50 and 6,077.44 is: 8,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.26 : 14,893.50 = 6,077.44 : x
  2. Step 2: Convert to fraction form
    10,793.26/14,893.50 = 6,077.44/x
  3. Step 3: Cross multiply
    10,793.26x = 14,893.50 × 6,077.44
  4. Step 4: Simplify right side
    10,793.26x = 90,514,352.64
  5. Step 5: Solve for x
    x = 90,514,352.64/10,793.26
  6. Step 6: Final answer
    x = 8,386.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.