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Finding the Fourth Proportional to 8,125.68, 11,214.19 and 4,938.24

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Solution

The fourth proportional to 8,125.68, 11,214.19 and 4,938.24 is: 6,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.68 : 11,214.19 = 4,938.24 : x
  2. Step 2: Convert to fraction form
    8,125.68/11,214.19 = 4,938.24/x
  3. Step 3: Cross multiply
    8,125.68x = 11,214.19 × 4,938.24
  4. Step 4: Simplify right side
    8,125.68x = 55,378,361.63
  5. Step 5: Solve for x
    x = 55,378,361.63/8,125.68
  6. Step 6: Final answer
    x = 6,815.23

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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.