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Finding the Fourth Proportional to 4,140.12, 6,199.62 and 4,017

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Solution

The fourth proportional to 4,140.12, 6,199.62 and 4,017 is: 6,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.12 : 6,199.62 = 4,017 : x
  2. Step 2: Convert to fraction form
    4,140.12/6,199.62 = 4,017/x
  3. Step 3: Cross multiply
    4,140.12x = 6,199.62 × 4,017
  4. Step 4: Simplify right side
    4,140.12x = 24,903,873.54
  5. Step 5: Solve for x
    x = 24,903,873.54/4,140.12
  6. Step 6: Final answer
    x = 6,015.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.