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Finding the Fourth Proportional to 10,570.98, 15,858.80 and 3,997.23

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Solution

The fourth proportional to 10,570.98, 15,858.80 and 3,997.23 is: 5,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.98 : 15,858.80 = 3,997.23 : x
  2. Step 2: Convert to fraction form
    10,570.98/15,858.80 = 3,997.23/x
  3. Step 3: Cross multiply
    10,570.98x = 15,858.80 × 3,997.23
  4. Step 4: Simplify right side
    10,570.98x = 63,391,271.12
  5. Step 5: Solve for x
    x = 63,391,271.12/10,570.98
  6. Step 6: Final answer
    x = 5,996.73

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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.