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Finding the Fourth Proportional to 6,763.84, 10,146.72 and 2,084.23

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Solution

The fourth proportional to 6,763.84, 10,146.72 and 2,084.23 is: 3,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.84 : 10,146.72 = 2,084.23 : x
  2. Step 2: Convert to fraction form
    6,763.84/10,146.72 = 2,084.23/x
  3. Step 3: Cross multiply
    6,763.84x = 10,146.72 × 2,084.23
  4. Step 4: Simplify right side
    6,763.84x = 21,148,072.86
  5. Step 5: Solve for x
    x = 21,148,072.86/6,763.84
  6. Step 6: Final answer
    x = 3,126.64

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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.