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Finding the Fourth Proportional to 7,116.65, 9,813.31 and 4,991.48

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Solution

The fourth proportional to 7,116.65, 9,813.31 and 4,991.48 is: 6,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.65 : 9,813.31 = 4,991.48 : x
  2. Step 2: Convert to fraction form
    7,116.65/9,813.31 = 4,991.48/x
  3. Step 3: Cross multiply
    7,116.65x = 9,813.31 × 4,991.48
  4. Step 4: Simplify right side
    7,116.65x = 48,982,940.60
  5. Step 5: Solve for x
    x = 48,982,940.60/7,116.65
  6. Step 6: Final answer
    x = 6,882.86

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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.