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Finding the Fourth Proportional to 10,029.78, 13,841.42 and 5,780.49

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Solution

The fourth proportional to 10,029.78, 13,841.42 and 5,780.49 is: 7,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.78 : 13,841.42 = 5,780.49 : x
  2. Step 2: Convert to fraction form
    10,029.78/13,841.42 = 5,780.49/x
  3. Step 3: Cross multiply
    10,029.78x = 13,841.42 × 5,780.49
  4. Step 4: Simplify right side
    10,029.78x = 80,010,160.99
  5. Step 5: Solve for x
    x = 80,010,160.99/10,029.78
  6. Step 6: Final answer
    x = 7,977.26

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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.