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Finding the Fourth Proportional to 7,884.61, 11,824.90 and 2,336.66

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Solution

The fourth proportional to 7,884.61, 11,824.90 and 2,336.66 is: 3,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.61 : 11,824.90 = 2,336.66 : x
  2. Step 2: Convert to fraction form
    7,884.61/11,824.90 = 2,336.66/x
  3. Step 3: Cross multiply
    7,884.61x = 11,824.90 × 2,336.66
  4. Step 4: Simplify right side
    7,884.61x = 27,630,806.24
  5. Step 5: Solve for x
    x = 27,630,806.24/7,884.61
  6. Step 6: Final answer
    x = 3,504.40

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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.