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Finding the Fourth Proportional to 6,911.19, 10,366.74 and 1,980.82

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Solution

The fourth proportional to 6,911.19, 10,366.74 and 1,980.82 is: 2,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.19 : 10,366.74 = 1,980.82 : x
  2. Step 2: Convert to fraction form
    6,911.19/10,366.74 = 1,980.82/x
  3. Step 3: Cross multiply
    6,911.19x = 10,366.74 × 1,980.82
  4. Step 4: Simplify right side
    6,911.19x = 20,534,645.93
  5. Step 5: Solve for x
    x = 20,534,645.93/6,911.19
  6. Step 6: Final answer
    x = 2,971.22

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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.