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Finding the Fourth Proportional to 7,471.36, 10,309.68 and 4,114

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Solution

The fourth proportional to 7,471.36, 10,309.68 and 4,114 is: 5,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.36 : 10,309.68 = 4,114 : x
  2. Step 2: Convert to fraction form
    7,471.36/10,309.68 = 4,114/x
  3. Step 3: Cross multiply
    7,471.36x = 10,309.68 × 4,114
  4. Step 4: Simplify right side
    7,471.36x = 42,414,023.52
  5. Step 5: Solve for x
    x = 42,414,023.52/7,471.36
  6. Step 6: Final answer
    x = 5,676.88

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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.