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Finding the Fourth Proportional to 7,713.24, 11,567.46 and 2,782.24

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Solution

The fourth proportional to 7,713.24, 11,567.46 and 2,782.24 is: 4,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.24 : 11,567.46 = 2,782.24 : x
  2. Step 2: Convert to fraction form
    7,713.24/11,567.46 = 2,782.24/x
  3. Step 3: Cross multiply
    7,713.24x = 11,567.46 × 2,782.24
  4. Step 4: Simplify right side
    7,713.24x = 32,183,449.91
  5. Step 5: Solve for x
    x = 32,183,449.91/7,713.24
  6. Step 6: Final answer
    x = 4,172.49

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Why These Related Problems?

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