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Finding the Fourth Proportional to 7,107.51, 9,796.23 and 4,865.43

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Solution

The fourth proportional to 7,107.51, 9,796.23 and 4,865.43 is: 6,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.51 : 9,796.23 = 4,865.43 : x
  2. Step 2: Convert to fraction form
    7,107.51/9,796.23 = 4,865.43/x
  3. Step 3: Cross multiply
    7,107.51x = 9,796.23 × 4,865.43
  4. Step 4: Simplify right side
    7,107.51x = 47,662,871.33
  5. Step 5: Solve for x
    x = 47,662,871.33/7,107.51
  6. Step 6: Final answer
    x = 6,705.99

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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.