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Finding the Fourth Proportional to 7,713.85, 11,568.74 and 2,782.57

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Solution

The fourth proportional to 7,713.85, 11,568.74 and 2,782.57 is: 4,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.85 : 11,568.74 = 2,782.57 : x
  2. Step 2: Convert to fraction form
    7,713.85/11,568.74 = 2,782.57/x
  3. Step 3: Cross multiply
    7,713.85x = 11,568.74 × 2,782.57
  4. Step 4: Simplify right side
    7,713.85x = 32,190,828.86
  5. Step 5: Solve for x
    x = 32,190,828.86/7,713.85
  6. Step 6: Final answer
    x = 4,173.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.