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Finding the Fourth Proportional to 6,416.11, 8,851.74 and 3,762.55

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Solution

The fourth proportional to 6,416.11, 8,851.74 and 3,762.55 is: 5,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.11 : 8,851.74 = 3,762.55 : x
  2. Step 2: Convert to fraction form
    6,416.11/8,851.74 = 3,762.55/x
  3. Step 3: Cross multiply
    6,416.11x = 8,851.74 × 3,762.55
  4. Step 4: Simplify right side
    6,416.11x = 33,305,070.08
  5. Step 5: Solve for x
    x = 33,305,070.08/6,416.11
  6. Step 6: Final answer
    x = 5,190.85

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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.