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Finding the Fourth Proportional to 10,135.41, 15,200.24 and 3,894.99

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Solution

The fourth proportional to 10,135.41, 15,200.24 and 3,894.99 is: 5,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.41 : 15,200.24 = 3,894.99 : x
  2. Step 2: Convert to fraction form
    10,135.41/15,200.24 = 3,894.99/x
  3. Step 3: Cross multiply
    10,135.41x = 15,200.24 × 3,894.99
  4. Step 4: Simplify right side
    10,135.41x = 59,204,763.32
  5. Step 5: Solve for x
    x = 59,204,763.32/10,135.41
  6. Step 6: Final answer
    x = 5,841.38

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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.