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Finding the Fourth Proportional to 7,333, 10,119.54 and 4,021

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Solution

The fourth proportional to 7,333, 10,119.54 and 4,021 is: 5,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 10,119.54 = 4,021 : x
  2. Step 2: Convert to fraction form
    7,333/10,119.54 = 4,021/x
  3. Step 3: Cross multiply
    7,333x = 10,119.54 × 4,021
  4. Step 4: Simplify right side
    7,333x = 40,690,670.34
  5. Step 5: Solve for x
    x = 40,690,670.34/7,333
  6. Step 6: Final answer
    x = 5,548.98

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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.