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Finding the Fourth Proportional to 7,570.35, 10,452.23 and 4,738.87

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Solution

The fourth proportional to 7,570.35, 10,452.23 and 4,738.87 is: 6,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.35 : 10,452.23 = 4,738.87 : x
  2. Step 2: Convert to fraction form
    7,570.35/10,452.23 = 4,738.87/x
  3. Step 3: Cross multiply
    7,570.35x = 10,452.23 × 4,738.87
  4. Step 4: Simplify right side
    7,570.35x = 49,531,766.32
  5. Step 5: Solve for x
    x = 49,531,766.32/7,570.35
  6. Step 6: Final answer
    x = 6,542.86

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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.