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Finding the Fourth Proportional to 7,825.34, 11,737.91 and 1,902.29

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Solution

The fourth proportional to 7,825.34, 11,737.91 and 1,902.29 is: 2,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.34 : 11,737.91 = 1,902.29 : x
  2. Step 2: Convert to fraction form
    7,825.34/11,737.91 = 1,902.29/x
  3. Step 3: Cross multiply
    7,825.34x = 11,737.91 × 1,902.29
  4. Step 4: Simplify right side
    7,825.34x = 22,328,854.88
  5. Step 5: Solve for x
    x = 22,328,854.88/7,825.34
  6. Step 6: Final answer
    x = 2,853.40

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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.