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Finding the Fourth Proportional to 7,841.59, 11,763.43 and 2,294.89

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Solution

The fourth proportional to 7,841.59, 11,763.43 and 2,294.89 is: 3,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.59 : 11,763.43 = 2,294.89 : x
  2. Step 2: Convert to fraction form
    7,841.59/11,763.43 = 2,294.89/x
  3. Step 3: Cross multiply
    7,841.59x = 11,763.43 × 2,294.89
  4. Step 4: Simplify right side
    7,841.59x = 26,995,742.73
  5. Step 5: Solve for x
    x = 26,995,742.73/7,841.59
  6. Step 6: Final answer
    x = 3,442.64

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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.