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Finding the Fourth Proportional to 7,757.70, 10,704.65 and 4,570.24

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Solution

The fourth proportional to 7,757.70, 10,704.65 and 4,570.24 is: 6,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.70 : 10,704.65 = 4,570.24 : x
  2. Step 2: Convert to fraction form
    7,757.70/10,704.65 = 4,570.24/x
  3. Step 3: Cross multiply
    7,757.70x = 10,704.65 × 4,570.24
  4. Step 4: Simplify right side
    7,757.70x = 48,922,819.62
  5. Step 5: Solve for x
    x = 48,922,819.62/7,757.70
  6. Step 6: Final answer
    x = 6,306.36

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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.