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Finding the Fourth Proportional to 7,107.56, 9,808 and 4,083.17

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Solution

The fourth proportional to 7,107.56, 9,808 and 4,083.17 is: 5,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.56 : 9,808 = 4,083.17 : x
  2. Step 2: Convert to fraction form
    7,107.56/9,808 = 4,083.17/x
  3. Step 3: Cross multiply
    7,107.56x = 9,808 × 4,083.17
  4. Step 4: Simplify right side
    7,107.56x = 40,047,731.36
  5. Step 5: Solve for x
    x = 40,047,731.36/7,107.56
  6. Step 6: Final answer
    x = 5,634.53

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Why These Related Problems?

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