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Finding the Fourth Proportional to 10,212.84, 14,093.52 and 6,020.28

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Solution

The fourth proportional to 10,212.84, 14,093.52 and 6,020.28 is: 8,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.84 : 14,093.52 = 6,020.28 : x
  2. Step 2: Convert to fraction form
    10,212.84/14,093.52 = 6,020.28/x
  3. Step 3: Cross multiply
    10,212.84x = 14,093.52 × 6,020.28
  4. Step 4: Simplify right side
    10,212.84x = 84,846,936.59
  5. Step 5: Solve for x
    x = 84,846,936.59/10,212.84
  6. Step 6: Final answer
    x = 8,307.87

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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.