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Finding the Fourth Proportional to 10,396.50, 15,589.89 and 3,466.14

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Solution

The fourth proportional to 10,396.50, 15,589.89 and 3,466.14 is: 5,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.50 : 15,589.89 = 3,466.14 : x
  2. Step 2: Convert to fraction form
    10,396.50/15,589.89 = 3,466.14/x
  3. Step 3: Cross multiply
    10,396.50x = 15,589.89 × 3,466.14
  4. Step 4: Simplify right side
    10,396.50x = 54,036,741.32
  5. Step 5: Solve for x
    x = 54,036,741.32/10,396.50
  6. Step 6: Final answer
    x = 5,197.59

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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.