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Finding the Fourth Proportional to 7,782.92, 11,668.90 and 3,618.52

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Solution

The fourth proportional to 7,782.92, 11,668.90 and 3,618.52 is: 5,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.92 : 11,668.90 = 3,618.52 : x
  2. Step 2: Convert to fraction form
    7,782.92/11,668.90 = 3,618.52/x
  3. Step 3: Cross multiply
    7,782.92x = 11,668.90 × 3,618.52
  4. Step 4: Simplify right side
    7,782.92x = 42,224,148.03
  5. Step 5: Solve for x
    x = 42,224,148.03/7,782.92
  6. Step 6: Final answer
    x = 5,425.23

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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.