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Finding the Fourth Proportional to 10,514.26, 15,770.04 and 4,893.94

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Solution

The fourth proportional to 10,514.26, 15,770.04 and 4,893.94 is: 7,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.26 : 15,770.04 = 4,893.94 : x
  2. Step 2: Convert to fraction form
    10,514.26/15,770.04 = 4,893.94/x
  3. Step 3: Cross multiply
    10,514.26x = 15,770.04 × 4,893.94
  4. Step 4: Simplify right side
    10,514.26x = 77,177,629.56
  5. Step 5: Solve for x
    x = 77,177,629.56/10,514.26
  6. Step 6: Final answer
    x = 7,340.28

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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.