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Finding the Fourth Proportional to 6,910.69, 10,366.00 and 1,980.32

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Solution

The fourth proportional to 6,910.69, 10,366.00 and 1,980.32 is: 2,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.69 : 10,366.00 = 1,980.32 : x
  2. Step 2: Convert to fraction form
    6,910.69/10,366.00 = 1,980.32/x
  3. Step 3: Cross multiply
    6,910.69x = 10,366.00 × 1,980.32
  4. Step 4: Simplify right side
    6,910.69x = 20,527,987.22
  5. Step 5: Solve for x
    x = 20,527,987.22/6,910.69
  6. Step 6: Final answer
    x = 2,970.47

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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.