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Finding the Fourth Proportional to 7,133.48, 10,700.22 and 4,049

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Solution

The fourth proportional to 7,133.48, 10,700.22 and 4,049 is: 6,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.48 : 10,700.22 = 4,049 : x
  2. Step 2: Convert to fraction form
    7,133.48/10,700.22 = 4,049/x
  3. Step 3: Cross multiply
    7,133.48x = 10,700.22 × 4,049
  4. Step 4: Simplify right side
    7,133.48x = 43,325,190.78
  5. Step 5: Solve for x
    x = 43,325,190.78/7,133.48
  6. Step 6: Final answer
    x = 6,073.50

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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.