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Finding the Fourth Proportional to 7,181.71, 9,910.83 and 4,387.21

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Solution

The fourth proportional to 7,181.71, 9,910.83 and 4,387.21 is: 6,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.71 : 9,910.83 = 4,387.21 : x
  2. Step 2: Convert to fraction form
    7,181.71/9,910.83 = 4,387.21/x
  3. Step 3: Cross multiply
    7,181.71x = 9,910.83 × 4,387.21
  4. Step 4: Simplify right side
    7,181.71x = 43,480,892.48
  5. Step 5: Solve for x
    x = 43,480,892.48/7,181.71
  6. Step 6: Final answer
    x = 6,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.