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Finding the Fourth Proportional to 6,811.20, 10,216.80 and 6,519.60

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Solution

The fourth proportional to 6,811.20, 10,216.80 and 6,519.60 is: 9,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.20 : 10,216.80 = 6,519.60 : x
  2. Step 2: Convert to fraction form
    6,811.20/10,216.80 = 6,519.60/x
  3. Step 3: Cross multiply
    6,811.20x = 10,216.80 × 6,519.60
  4. Step 4: Simplify right side
    6,811.20x = 66,609,449.28
  5. Step 5: Solve for x
    x = 66,609,449.28/6,811.20
  6. Step 6: Final answer
    x = 9,779.40

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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.