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Finding the Fourth Proportional to 10,296, 14,208.56 and 6,107.84

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Solution

The fourth proportional to 10,296, 14,208.56 and 6,107.84 is: 8,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 14,208.56 = 6,107.84 : x
  2. Step 2: Convert to fraction form
    10,296/14,208.56 = 6,107.84/x
  3. Step 3: Cross multiply
    10,296x = 14,208.56 × 6,107.84
  4. Step 4: Simplify right side
    10,296x = 86,783,611.11
  5. Step 5: Solve for x
    x = 86,783,611.11/10,296
  6. Step 6: Final answer
    x = 8,428.87

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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.