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Finding the Fourth Proportional to 6,135.27, 8,458.16 and 4,142.67

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Solution

The fourth proportional to 6,135.27, 8,458.16 and 4,142.67 is: 5,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.27 : 8,458.16 = 4,142.67 : x
  2. Step 2: Convert to fraction form
    6,135.27/8,458.16 = 4,142.67/x
  3. Step 3: Cross multiply
    6,135.27x = 8,458.16 × 4,142.67
  4. Step 4: Simplify right side
    6,135.27x = 35,039,323.40
  5. Step 5: Solve for x
    x = 35,039,323.40/6,135.27
  6. Step 6: Final answer
    x = 5,711.13

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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.