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Finding the Fourth Proportional to 7,794.56, 10,756.50 and 4,257.78

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Solution

The fourth proportional to 7,794.56, 10,756.50 and 4,257.78 is: 5,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.56 : 10,756.50 = 4,257.78 : x
  2. Step 2: Convert to fraction form
    7,794.56/10,756.50 = 4,257.78/x
  3. Step 3: Cross multiply
    7,794.56x = 10,756.50 × 4,257.78
  4. Step 4: Simplify right side
    7,794.56x = 45,798,754.27
  5. Step 5: Solve for x
    x = 45,798,754.27/7,794.56
  6. Step 6: Final answer
    x = 5,875.73

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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.