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Finding the Fourth Proportional to 7,800.33, 10,754.58 and 5,674.21

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Solution

The fourth proportional to 7,800.33, 10,754.58 and 5,674.21 is: 7,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.33 : 10,754.58 = 5,674.21 : x
  2. Step 2: Convert to fraction form
    7,800.33/10,754.58 = 5,674.21/x
  3. Step 3: Cross multiply
    7,800.33x = 10,754.58 × 5,674.21
  4. Step 4: Simplify right side
    7,800.33x = 61,023,745.38
  5. Step 5: Solve for x
    x = 61,023,745.38/7,800.33
  6. Step 6: Final answer
    x = 7,823.23

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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.