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Finding the Fourth Proportional to 7,146.70, 10,722.48 and 4,511.14

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Solution

The fourth proportional to 7,146.70, 10,722.48 and 4,511.14 is: 6,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.70 : 10,722.48 = 4,511.14 : x
  2. Step 2: Convert to fraction form
    7,146.70/10,722.48 = 4,511.14/x
  3. Step 3: Cross multiply
    7,146.70x = 10,722.48 × 4,511.14
  4. Step 4: Simplify right side
    7,146.70x = 48,370,608.43
  5. Step 5: Solve for x
    x = 48,370,608.43/7,146.70
  6. Step 6: Final answer
    x = 6,768.24

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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.