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Finding the Fourth Proportional to 7,757.16, 10,705.26 and 4,571.40

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Solution

The fourth proportional to 7,757.16, 10,705.26 and 4,571.40 is: 6,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.16 : 10,705.26 = 4,571.40 : x
  2. Step 2: Convert to fraction form
    7,757.16/10,705.26 = 4,571.40/x
  3. Step 3: Cross multiply
    7,757.16x = 10,705.26 × 4,571.40
  4. Step 4: Simplify right side
    7,757.16x = 48,938,025.56
  5. Step 5: Solve for x
    x = 48,938,025.56/7,757.16
  6. Step 6: Final answer
    x = 6,308.76

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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.