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Finding the Fourth Proportional to 11,378.17, 17,075 and 6,982.21

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Solution

The fourth proportional to 11,378.17, 17,075 and 6,982.21 is: 10,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.17 : 17,075 = 6,982.21 : x
  2. Step 2: Convert to fraction form
    11,378.17/17,075 = 6,982.21/x
  3. Step 3: Cross multiply
    11,378.17x = 17,075 × 6,982.21
  4. Step 4: Simplify right side
    11,378.17x = 119,221,235.75
  5. Step 5: Solve for x
    x = 119,221,235.75/11,378.17
  6. Step 6: Final answer
    x = 10,478.07

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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.