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Finding the Fourth Proportional to 6,918.14, 10,377.69 and 1,987.67

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Solution

The fourth proportional to 6,918.14, 10,377.69 and 1,987.67 is: 2,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.14 : 10,377.69 = 1,987.67 : x
  2. Step 2: Convert to fraction form
    6,918.14/10,377.69 = 1,987.67/x
  3. Step 3: Cross multiply
    6,918.14x = 10,377.69 × 1,987.67
  4. Step 4: Simplify right side
    6,918.14x = 20,627,441.57
  5. Step 5: Solve for x
    x = 20,627,441.57/6,918.14
  6. Step 6: Final answer
    x = 2,981.64

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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.