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Finding the Fourth Proportional to 7,134.24, 10,700.48 and 2,203.84

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Solution

The fourth proportional to 7,134.24, 10,700.48 and 2,203.84 is: 3,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.24 : 10,700.48 = 2,203.84 : x
  2. Step 2: Convert to fraction form
    7,134.24/10,700.48 = 2,203.84/x
  3. Step 3: Cross multiply
    7,134.24x = 10,700.48 × 2,203.84
  4. Step 4: Simplify right side
    7,134.24x = 23,582,145.84
  5. Step 5: Solve for x
    x = 23,582,145.84/7,134.24
  6. Step 6: Final answer
    x = 3,305.49

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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.