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Finding the Fourth Proportional to 7,971.35, 11,957.02 and 3,583.68

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Solution

The fourth proportional to 7,971.35, 11,957.02 and 3,583.68 is: 5,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.35 : 11,957.02 = 3,583.68 : x
  2. Step 2: Convert to fraction form
    7,971.35/11,957.02 = 3,583.68/x
  3. Step 3: Cross multiply
    7,971.35x = 11,957.02 × 3,583.68
  4. Step 4: Simplify right side
    7,971.35x = 42,850,079.64
  5. Step 5: Solve for x
    x = 42,850,079.64/7,971.35
  6. Step 6: Final answer
    x = 5,375.51

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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.