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Finding the Fourth Proportional to 6,541.36, 9,812.05 and 1,611.09

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Solution

The fourth proportional to 6,541.36, 9,812.05 and 1,611.09 is: 2,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.36 : 9,812.05 = 1,611.09 : x
  2. Step 2: Convert to fraction form
    6,541.36/9,812.05 = 1,611.09/x
  3. Step 3: Cross multiply
    6,541.36x = 9,812.05 × 1,611.09
  4. Step 4: Simplify right side
    6,541.36x = 15,808,091.61
  5. Step 5: Solve for x
    x = 15,808,091.61/6,541.36
  6. Step 6: Final answer
    x = 2,416.64

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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.