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Finding the Fourth Proportional to 7,039.50, 10,559.97 and 2,422.50

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Solution

The fourth proportional to 7,039.50, 10,559.97 and 2,422.50 is: 3,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.50 : 10,559.97 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    7,039.50/10,559.97 = 2,422.50/x
  3. Step 3: Cross multiply
    7,039.50x = 10,559.97 × 2,422.50
  4. Step 4: Simplify right side
    7,039.50x = 25,581,527.33
  5. Step 5: Solve for x
    x = 25,581,527.33/7,039.50
  6. Step 6: Final answer
    x = 3,634.00

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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.