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Finding the Fourth Proportional to 7,166.94, 10,754.73 and 3,062.94

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Solution

The fourth proportional to 7,166.94, 10,754.73 and 3,062.94 is: 4,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.94 : 10,754.73 = 3,062.94 : x
  2. Step 2: Convert to fraction form
    7,166.94/10,754.73 = 3,062.94/x
  3. Step 3: Cross multiply
    7,166.94x = 10,754.73 × 3,062.94
  4. Step 4: Simplify right side
    7,166.94x = 32,941,092.71
  5. Step 5: Solve for x
    x = 32,941,092.71/7,166.94
  6. Step 6: Final answer
    x = 4,596.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.