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Finding the Fourth Proportional to 7,949.61, 10,968.48 and 4,964.36

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Solution

The fourth proportional to 7,949.61, 10,968.48 and 4,964.36 is: 6,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.61 : 10,968.48 = 4,964.36 : x
  2. Step 2: Convert to fraction form
    7,949.61/10,968.48 = 4,964.36/x
  3. Step 3: Cross multiply
    7,949.61x = 10,968.48 × 4,964.36
  4. Step 4: Simplify right side
    7,949.61x = 54,451,428.53
  5. Step 5: Solve for x
    x = 54,451,428.53/7,949.61
  6. Step 6: Final answer
    x = 6,849.57

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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.