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Finding the Fourth Proportional to 7,583.82, 11,375.76 and 2,902.74

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Solution

The fourth proportional to 7,583.82, 11,375.76 and 2,902.74 is: 4,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.82 : 11,375.76 = 2,902.74 : x
  2. Step 2: Convert to fraction form
    7,583.82/11,375.76 = 2,902.74/x
  3. Step 3: Cross multiply
    7,583.82x = 11,375.76 × 2,902.74
  4. Step 4: Simplify right side
    7,583.82x = 33,020,873.58
  5. Step 5: Solve for x
    x = 33,020,873.58/7,583.82
  6. Step 6: Final answer
    x = 4,354.12

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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.