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Finding the Fourth Proportional to 6,541.70, 9,811.98 and 1,861.52

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Solution

The fourth proportional to 6,541.70, 9,811.98 and 1,861.52 is: 2,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.70 : 9,811.98 = 1,861.52 : x
  2. Step 2: Convert to fraction form
    6,541.70/9,811.98 = 1,861.52/x
  3. Step 3: Cross multiply
    6,541.70x = 9,811.98 × 1,861.52
  4. Step 4: Simplify right side
    6,541.70x = 18,265,197.01
  5. Step 5: Solve for x
    x = 18,265,197.01/6,541.70
  6. Step 6: Final answer
    x = 2,792.12

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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.