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Finding the Fourth Proportional to 10,570.42, 15,855.82 and 3,999.70

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Solution

The fourth proportional to 10,570.42, 15,855.82 and 3,999.70 is: 5,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.42 : 15,855.82 = 3,999.70 : x
  2. Step 2: Convert to fraction form
    10,570.42/15,855.82 = 3,999.70/x
  3. Step 3: Cross multiply
    10,570.42x = 15,855.82 × 3,999.70
  4. Step 4: Simplify right side
    10,570.42x = 63,418,523.25
  5. Step 5: Solve for x
    x = 63,418,523.25/10,570.42
  6. Step 6: Final answer
    x = 5,999.62

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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.