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Finding the Fourth Proportional to 7,918.64, 11,881.92 and 3,539.24

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Solution

The fourth proportional to 7,918.64, 11,881.92 and 3,539.24 is: 5,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.64 : 11,881.92 = 3,539.24 : x
  2. Step 2: Convert to fraction form
    7,918.64/11,881.92 = 3,539.24/x
  3. Step 3: Cross multiply
    7,918.64x = 11,881.92 × 3,539.24
  4. Step 4: Simplify right side
    7,918.64x = 42,052,966.54
  5. Step 5: Solve for x
    x = 42,052,966.54/7,918.64
  6. Step 6: Final answer
    x = 5,310.63

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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.