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Finding the Fourth Proportional to 8,256.42, 11,392.08 and 4,900.35

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Solution

The fourth proportional to 8,256.42, 11,392.08 and 4,900.35 is: 6,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.42 : 11,392.08 = 4,900.35 : x
  2. Step 2: Convert to fraction form
    8,256.42/11,392.08 = 4,900.35/x
  3. Step 3: Cross multiply
    8,256.42x = 11,392.08 × 4,900.35
  4. Step 4: Simplify right side
    8,256.42x = 55,825,179.23
  5. Step 5: Solve for x
    x = 55,825,179.23/8,256.42
  6. Step 6: Final answer
    x = 6,761.43

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