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Finding the Fourth Proportional to 8,146, 11,241.52 and 4,420

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Solution

The fourth proportional to 8,146, 11,241.52 and 4,420 is: 6,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 11,241.52 = 4,420 : x
  2. Step 2: Convert to fraction form
    8,146/11,241.52 = 4,420/x
  3. Step 3: Cross multiply
    8,146x = 11,241.52 × 4,420
  4. Step 4: Simplify right side
    8,146x = 49,687,518.40
  5. Step 5: Solve for x
    x = 49,687,518.40/8,146
  6. Step 6: Final answer
    x = 6,099.62

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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.