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Finding the Fourth Proportional to 5,300.82, 7,963.53 and 3,111.10

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Solution

The fourth proportional to 5,300.82, 7,963.53 and 3,111.10 is: 4,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.82 : 7,963.53 = 3,111.10 : x
  2. Step 2: Convert to fraction form
    5,300.82/7,963.53 = 3,111.10/x
  3. Step 3: Cross multiply
    5,300.82x = 7,963.53 × 3,111.10
  4. Step 4: Simplify right side
    5,300.82x = 24,775,338.18
  5. Step 5: Solve for x
    x = 24,775,338.18/5,300.82
  6. Step 6: Final answer
    x = 4,673.87

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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.