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Finding the Fourth Proportional to 6,911.25, 10,366.60 and 1,980.69

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Solution

The fourth proportional to 6,911.25, 10,366.60 and 1,980.69 is: 2,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.25 : 10,366.60 = 1,980.69 : x
  2. Step 2: Convert to fraction form
    6,911.25/10,366.60 = 1,980.69/x
  3. Step 3: Cross multiply
    6,911.25x = 10,366.60 × 1,980.69
  4. Step 4: Simplify right side
    6,911.25x = 20,533,020.95
  5. Step 5: Solve for x
    x = 20,533,020.95/6,911.25
  6. Step 6: Final answer
    x = 2,970.96

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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.