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Finding the Fourth Proportional to 6,135.21, 8,458.07 and 4,142.61

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Solution

The fourth proportional to 6,135.21, 8,458.07 and 4,142.61 is: 5,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.21 : 8,458.07 = 4,142.61 : x
  2. Step 2: Convert to fraction form
    6,135.21/8,458.07 = 4,142.61/x
  3. Step 3: Cross multiply
    6,135.21x = 8,458.07 × 4,142.61
  4. Step 4: Simplify right side
    6,135.21x = 35,038,485.36
  5. Step 5: Solve for x
    x = 35,038,485.36/6,135.21
  6. Step 6: Final answer
    x = 5,711.05

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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.