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Finding the Fourth Proportional to 6,911.48, 10,366.20 and 1,980.60

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Solution

The fourth proportional to 6,911.48, 10,366.20 and 1,980.60 is: 2,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.48 : 10,366.20 = 1,980.60 : x
  2. Step 2: Convert to fraction form
    6,911.48/10,366.20 = 1,980.60/x
  3. Step 3: Cross multiply
    6,911.48x = 10,366.20 × 1,980.60
  4. Step 4: Simplify right side
    6,911.48x = 20,531,295.72
  5. Step 5: Solve for x
    x = 20,531,295.72/6,911.48
  6. Step 6: Final answer
    x = 2,970.61

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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.