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Finding the Fourth Proportional to 7,313.54, 10,972.04 and 2,383.20

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Solution

The fourth proportional to 7,313.54, 10,972.04 and 2,383.20 is: 3,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.54 : 10,972.04 = 2,383.20 : x
  2. Step 2: Convert to fraction form
    7,313.54/10,972.04 = 2,383.20/x
  3. Step 3: Cross multiply
    7,313.54x = 10,972.04 × 2,383.20
  4. Step 4: Simplify right side
    7,313.54x = 26,148,553.81
  5. Step 5: Solve for x
    x = 26,148,553.81/7,313.54
  6. Step 6: Final answer
    x = 3,575.36

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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.