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Finding the Fourth Proportional to 6,911.01, 10,366.46 and 1,980.66

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Solution

The fourth proportional to 6,911.01, 10,366.46 and 1,980.66 is: 2,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.01 : 10,366.46 = 1,980.66 : x
  2. Step 2: Convert to fraction form
    6,911.01/10,366.46 = 1,980.66/x
  3. Step 3: Cross multiply
    6,911.01x = 10,366.46 × 1,980.66
  4. Step 4: Simplify right side
    6,911.01x = 20,532,432.66
  5. Step 5: Solve for x
    x = 20,532,432.66/6,911.01
  6. Step 6: Final answer
    x = 2,970.97

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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.