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Finding the Fourth Proportional to 6,541.41, 9,810.63 and 1,861.32

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Solution

The fourth proportional to 6,541.41, 9,810.63 and 1,861.32 is: 2,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.41 : 9,810.63 = 1,861.32 : x
  2. Step 2: Convert to fraction form
    6,541.41/9,810.63 = 1,861.32/x
  3. Step 3: Cross multiply
    6,541.41x = 9,810.63 × 1,861.32
  4. Step 4: Simplify right side
    6,541.41x = 18,260,721.83
  5. Step 5: Solve for x
    x = 18,260,721.83/6,541.41
  6. Step 6: Final answer
    x = 2,791.56

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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.