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Finding the Fourth Proportional to 6,866.88, 10,300.20 and 3,578.16

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Solution

The fourth proportional to 6,866.88, 10,300.20 and 3,578.16 is: 5,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.88 : 10,300.20 = 3,578.16 : x
  2. Step 2: Convert to fraction form
    6,866.88/10,300.20 = 3,578.16/x
  3. Step 3: Cross multiply
    6,866.88x = 10,300.20 × 3,578.16
  4. Step 4: Simplify right side
    6,866.88x = 36,855,763.63
  5. Step 5: Solve for x
    x = 36,855,763.63/6,866.88
  6. Step 6: Final answer
    x = 5,367.18

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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.