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Finding the Fourth Proportional to 7,968.84, 10,995.78 and 4,611

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Solution

The fourth proportional to 7,968.84, 10,995.78 and 4,611 is: 6,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.84 : 10,995.78 = 4,611 : x
  2. Step 2: Convert to fraction form
    7,968.84/10,995.78 = 4,611/x
  3. Step 3: Cross multiply
    7,968.84x = 10,995.78 × 4,611
  4. Step 4: Simplify right side
    7,968.84x = 50,701,541.58
  5. Step 5: Solve for x
    x = 50,701,541.58/7,968.84
  6. Step 6: Final answer
    x = 6,362.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.