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Finding the Fourth Proportional to 7,122.69, 10,684.04 and 1,928.57

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Solution

The fourth proportional to 7,122.69, 10,684.04 and 1,928.57 is: 2,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.69 : 10,684.04 = 1,928.57 : x
  2. Step 2: Convert to fraction form
    7,122.69/10,684.04 = 1,928.57/x
  3. Step 3: Cross multiply
    7,122.69x = 10,684.04 × 1,928.57
  4. Step 4: Simplify right side
    7,122.69x = 20,604,855.96
  5. Step 5: Solve for x
    x = 20,604,855.96/7,122.69
  6. Step 6: Final answer
    x = 2,892.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.