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Finding the Fourth Proportional to 6,911.37, 10,368.60 and 1,980.90

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Solution

The fourth proportional to 6,911.37, 10,368.60 and 1,980.90 is: 2,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.37 : 10,368.60 = 1,980.90 : x
  2. Step 2: Convert to fraction form
    6,911.37/10,368.60 = 1,980.90/x
  3. Step 3: Cross multiply
    6,911.37x = 10,368.60 × 1,980.90
  4. Step 4: Simplify right side
    6,911.37x = 20,539,159.74
  5. Step 5: Solve for x
    x = 20,539,159.74/6,911.37
  6. Step 6: Final answer
    x = 2,971.79

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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.