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Finding the Fourth Proportional to 6,861.54, 10,291.22 and 2,180.93

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Solution

The fourth proportional to 6,861.54, 10,291.22 and 2,180.93 is: 3,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.54 : 10,291.22 = 2,180.93 : x
  2. Step 2: Convert to fraction form
    6,861.54/10,291.22 = 2,180.93/x
  3. Step 3: Cross multiply
    6,861.54x = 10,291.22 × 2,180.93
  4. Step 4: Simplify right side
    6,861.54x = 22,444,430.43
  5. Step 5: Solve for x
    x = 22,444,430.43/6,861.54
  6. Step 6: Final answer
    x = 3,271.05

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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.