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Finding the Fourth Proportional to 7,570.80, 10,447.79 and 4,213.55

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Solution

The fourth proportional to 7,570.80, 10,447.79 and 4,213.55 is: 5,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.80 : 10,447.79 = 4,213.55 : x
  2. Step 2: Convert to fraction form
    7,570.80/10,447.79 = 4,213.55/x
  3. Step 3: Cross multiply
    7,570.80x = 10,447.79 × 4,213.55
  4. Step 4: Simplify right side
    7,570.80x = 44,022,290.61
  5. Step 5: Solve for x
    x = 44,022,290.61/7,570.80
  6. Step 6: Final answer
    x = 5,814.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.