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Finding the Fourth Proportional to 6,911.39, 10,367.56 and 1,980.92

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Solution

The fourth proportional to 6,911.39, 10,367.56 and 1,980.92 is: 2,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.39 : 10,367.56 = 1,980.92 : x
  2. Step 2: Convert to fraction form
    6,911.39/10,367.56 = 1,980.92/x
  3. Step 3: Cross multiply
    6,911.39x = 10,367.56 × 1,980.92
  4. Step 4: Simplify right side
    6,911.39x = 20,537,335.35
  5. Step 5: Solve for x
    x = 20,537,335.35/6,911.39
  6. Step 6: Final answer
    x = 2,971.52

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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.