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Finding the Fourth Proportional to 10,042.77, 13,860 and 5,850.75

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Solution

The fourth proportional to 10,042.77, 13,860 and 5,850.75 is: 8,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.77 : 13,860 = 5,850.75 : x
  2. Step 2: Convert to fraction form
    10,042.77/13,860 = 5,850.75/x
  3. Step 3: Cross multiply
    10,042.77x = 13,860 × 5,850.75
  4. Step 4: Simplify right side
    10,042.77x = 81,091,395
  5. Step 5: Solve for x
    x = 81,091,395/10,042.77
  6. Step 6: Final answer
    x = 8,074.60

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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.