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Finding the Fourth Proportional to 13,085.75, 19,628.84 and 3,726

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Solution

The fourth proportional to 13,085.75, 19,628.84 and 3,726 is: 5,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.75 : 19,628.84 = 3,726 : x
  2. Step 2: Convert to fraction form
    13,085.75/19,628.84 = 3,726/x
  3. Step 3: Cross multiply
    13,085.75x = 19,628.84 × 3,726
  4. Step 4: Simplify right side
    13,085.75x = 73,137,057.84
  5. Step 5: Solve for x
    x = 73,137,057.84/13,085.75
  6. Step 6: Final answer
    x = 5,589.06

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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.