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Finding the Fourth Proportional to 10,202.75, 14,076.17 and 6,668.01

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Solution

The fourth proportional to 10,202.75, 14,076.17 and 6,668.01 is: 9,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.75 : 14,076.17 = 6,668.01 : x
  2. Step 2: Convert to fraction form
    10,202.75/14,076.17 = 6,668.01/x
  3. Step 3: Cross multiply
    10,202.75x = 14,076.17 × 6,668.01
  4. Step 4: Simplify right side
    10,202.75x = 93,859,971.94
  5. Step 5: Solve for x
    x = 93,859,971.94/10,202.75
  6. Step 6: Final answer
    x = 9,199.48

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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.