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Finding the Fourth Proportional to 6,952.99, 10,430.32 and 2,273.54

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Solution

The fourth proportional to 6,952.99, 10,430.32 and 2,273.54 is: 3,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.99 : 10,430.32 = 2,273.54 : x
  2. Step 2: Convert to fraction form
    6,952.99/10,430.32 = 2,273.54/x
  3. Step 3: Cross multiply
    6,952.99x = 10,430.32 × 2,273.54
  4. Step 4: Simplify right side
    6,952.99x = 23,713,761.95
  5. Step 5: Solve for x
    x = 23,713,761.95/6,952.99
  6. Step 6: Final answer
    x = 3,410.58

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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.