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Finding the Fourth Proportional to 6,164.07, 8,513.43 and 4,143.98

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Solution

The fourth proportional to 6,164.07, 8,513.43 and 4,143.98 is: 5,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.07 : 8,513.43 = 4,143.98 : x
  2. Step 2: Convert to fraction form
    6,164.07/8,513.43 = 4,143.98/x
  3. Step 3: Cross multiply
    6,164.07x = 8,513.43 × 4,143.98
  4. Step 4: Simplify right side
    6,164.07x = 35,279,441.08
  5. Step 5: Solve for x
    x = 35,279,441.08/6,164.07
  6. Step 6: Final answer
    x = 5,723.40

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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.