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Finding the Fourth Proportional to 7,166.70, 10,753.08 and 3,471.68

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Solution

The fourth proportional to 7,166.70, 10,753.08 and 3,471.68 is: 5,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.70 : 10,753.08 = 3,471.68 : x
  2. Step 2: Convert to fraction form
    7,166.70/10,753.08 = 3,471.68/x
  3. Step 3: Cross multiply
    7,166.70x = 10,753.08 × 3,471.68
  4. Step 4: Simplify right side
    7,166.70x = 37,331,199.01
  5. Step 5: Solve for x
    x = 37,331,199.01/7,166.70
  6. Step 6: Final answer
    x = 5,208.98

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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.