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Finding the Fourth Proportional to 8,141, 12,211.62 and 2,594.34

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Solution

The fourth proportional to 8,141, 12,211.62 and 2,594.34 is: 3,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141 : 12,211.62 = 2,594.34 : x
  2. Step 2: Convert to fraction form
    8,141/12,211.62 = 2,594.34/x
  3. Step 3: Cross multiply
    8,141x = 12,211.62 × 2,594.34
  4. Step 4: Simplify right side
    8,141x = 31,681,094.23
  5. Step 5: Solve for x
    x = 31,681,094.23/8,141
  6. Step 6: Final answer
    x = 3,891.55

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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.