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Finding the Fourth Proportional to 10,042.84, 13,859.24 and 5,851

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Solution

The fourth proportional to 10,042.84, 13,859.24 and 5,851 is: 8,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.84 : 13,859.24 = 5,851 : x
  2. Step 2: Convert to fraction form
    10,042.84/13,859.24 = 5,851/x
  3. Step 3: Cross multiply
    10,042.84x = 13,859.24 × 5,851
  4. Step 4: Simplify right side
    10,042.84x = 81,090,413.24
  5. Step 5: Solve for x
    x = 81,090,413.24/10,042.84
  6. Step 6: Final answer
    x = 8,074.45

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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.