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Finding the Fourth Proportional to 10,539.98, 15,817.74 and 4,993.30

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Solution

The fourth proportional to 10,539.98, 15,817.74 and 4,993.30 is: 7,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.98 : 15,817.74 = 4,993.30 : x
  2. Step 2: Convert to fraction form
    10,539.98/15,817.74 = 4,993.30/x
  3. Step 3: Cross multiply
    10,539.98x = 15,817.74 × 4,993.30
  4. Step 4: Simplify right side
    10,539.98x = 78,982,721.14
  5. Step 5: Solve for x
    x = 78,982,721.14/10,539.98
  6. Step 6: Final answer
    x = 7,493.63

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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.