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Finding the Fourth Proportional to 7,198.95, 10,779.73 and 6,165.60

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Solution

The fourth proportional to 7,198.95, 10,779.73 and 6,165.60 is: 9,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.95 : 10,779.73 = 6,165.60 : x
  2. Step 2: Convert to fraction form
    7,198.95/10,779.73 = 6,165.60/x
  3. Step 3: Cross multiply
    7,198.95x = 10,779.73 × 6,165.60
  4. Step 4: Simplify right side
    7,198.95x = 66,463,503.29
  5. Step 5: Solve for x
    x = 66,463,503.29/7,198.95
  6. Step 6: Final answer
    x = 9,232.39

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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.