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Finding the Fourth Proportional to 6,841.67, 10,271.01 and 4,774.82

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Solution

The fourth proportional to 6,841.67, 10,271.01 and 4,774.82 is: 7,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.67 : 10,271.01 = 4,774.82 : x
  2. Step 2: Convert to fraction form
    6,841.67/10,271.01 = 4,774.82/x
  3. Step 3: Cross multiply
    6,841.67x = 10,271.01 × 4,774.82
  4. Step 4: Simplify right side
    6,841.67x = 49,042,223.97
  5. Step 5: Solve for x
    x = 49,042,223.97/6,841.67
  6. Step 6: Final answer
    x = 7,168.17

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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.