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Finding the Fourth Proportional to 7,766.63, 11,650.03 and 1,923.29

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Solution

The fourth proportional to 7,766.63, 11,650.03 and 1,923.29 is: 2,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.63 : 11,650.03 = 1,923.29 : x
  2. Step 2: Convert to fraction form
    7,766.63/11,650.03 = 1,923.29/x
  3. Step 3: Cross multiply
    7,766.63x = 11,650.03 × 1,923.29
  4. Step 4: Simplify right side
    7,766.63x = 22,406,323.14
  5. Step 5: Solve for x
    x = 22,406,323.14/7,766.63
  6. Step 6: Final answer
    x = 2,884.95

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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.