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Finding the Fourth Proportional to 7,861.71, 11,796.62 and 3,482.26

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Solution

The fourth proportional to 7,861.71, 11,796.62 and 3,482.26 is: 5,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.71 : 11,796.62 = 3,482.26 : x
  2. Step 2: Convert to fraction form
    7,861.71/11,796.62 = 3,482.26/x
  3. Step 3: Cross multiply
    7,861.71x = 11,796.62 × 3,482.26
  4. Step 4: Simplify right side
    7,861.71x = 41,078,897.96
  5. Step 5: Solve for x
    x = 41,078,897.96/7,861.71
  6. Step 6: Final answer
    x = 5,225.19

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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.