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Finding the Fourth Proportional to 6,763.70, 10,146.51 and 2,084.10

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Solution

The fourth proportional to 6,763.70, 10,146.51 and 2,084.10 is: 3,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.70 : 10,146.51 = 2,084.10 : x
  2. Step 2: Convert to fraction form
    6,763.70/10,146.51 = 2,084.10/x
  3. Step 3: Cross multiply
    6,763.70x = 10,146.51 × 2,084.10
  4. Step 4: Simplify right side
    6,763.70x = 21,146,341.49
  5. Step 5: Solve for x
    x = 21,146,341.49/6,763.70
  6. Step 6: Final answer
    x = 3,126.45

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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.