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Finding the Fourth Proportional to 11,378.30, 17,075.18 and 6,982.34

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Solution

The fourth proportional to 11,378.30, 17,075.18 and 6,982.34 is: 10,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.30 : 17,075.18 = 6,982.34 : x
  2. Step 2: Convert to fraction form
    11,378.30/17,075.18 = 6,982.34/x
  3. Step 3: Cross multiply
    11,378.30x = 17,075.18 × 6,982.34
  4. Step 4: Simplify right side
    11,378.30x = 119,224,644.40
  5. Step 5: Solve for x
    x = 119,224,644.40/11,378.30
  6. Step 6: Final answer
    x = 10,478.25

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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.