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Finding the Fourth Proportional to 10,396.62, 15,585.70 and 3,821.26

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Solution

The fourth proportional to 10,396.62, 15,585.70 and 3,821.26 is: 5,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.62 : 15,585.70 = 3,821.26 : x
  2. Step 2: Convert to fraction form
    10,396.62/15,585.70 = 3,821.26/x
  3. Step 3: Cross multiply
    10,396.62x = 15,585.70 × 3,821.26
  4. Step 4: Simplify right side
    10,396.62x = 59,557,011.98
  5. Step 5: Solve for x
    x = 59,557,011.98/10,396.62
  6. Step 6: Final answer
    x = 5,728.50

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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.