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Finding the Fourth Proportional to 7,234.56, 10,852.98 and 2,852.04

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Solution

The fourth proportional to 7,234.56, 10,852.98 and 2,852.04 is: 4,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.56 : 10,852.98 = 2,852.04 : x
  2. Step 2: Convert to fraction form
    7,234.56/10,852.98 = 2,852.04/x
  3. Step 3: Cross multiply
    7,234.56x = 10,852.98 × 2,852.04
  4. Step 4: Simplify right side
    7,234.56x = 30,953,133.08
  5. Step 5: Solve for x
    x = 30,953,133.08/7,234.56
  6. Step 6: Final answer
    x = 4,278.51

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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.