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Finding the Fourth Proportional to 10,198.68, 14,072.04 and 6,667.08

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Solution

The fourth proportional to 10,198.68, 14,072.04 and 6,667.08 is: 9,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.68 : 14,072.04 = 6,667.08 : x
  2. Step 2: Convert to fraction form
    10,198.68/14,072.04 = 6,667.08/x
  3. Step 3: Cross multiply
    10,198.68x = 14,072.04 × 6,667.08
  4. Step 4: Simplify right side
    10,198.68x = 93,819,416.44
  5. Step 5: Solve for x
    x = 93,819,416.44/10,198.68
  6. Step 6: Final answer
    x = 9,199.17

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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.