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Finding the Fourth Proportional to 7,884.50, 11,825.06 and 2,337.89

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Solution

The fourth proportional to 7,884.50, 11,825.06 and 2,337.89 is: 3,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.50 : 11,825.06 = 2,337.89 : x
  2. Step 2: Convert to fraction form
    7,884.50/11,825.06 = 2,337.89/x
  3. Step 3: Cross multiply
    7,884.50x = 11,825.06 × 2,337.89
  4. Step 4: Simplify right side
    7,884.50x = 27,645,618.71
  5. Step 5: Solve for x
    x = 27,645,618.71/7,884.50
  6. Step 6: Final answer
    x = 3,506.33

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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.