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Finding the Fourth Proportional to 10,029.54, 13,841.07 and 5,780.25

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Solution

The fourth proportional to 10,029.54, 13,841.07 and 5,780.25 is: 7,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.54 : 13,841.07 = 5,780.25 : x
  2. Step 2: Convert to fraction form
    10,029.54/13,841.07 = 5,780.25/x
  3. Step 3: Cross multiply
    10,029.54x = 13,841.07 × 5,780.25
  4. Step 4: Simplify right side
    10,029.54x = 80,004,844.87
  5. Step 5: Solve for x
    x = 80,004,844.87/10,029.54
  6. Step 6: Final answer
    x = 7,976.92

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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.