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Finding the Fourth Proportional to 10,001.34, 13,794.30 and 6,021

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Solution

The fourth proportional to 10,001.34, 13,794.30 and 6,021 is: 8,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.34 : 13,794.30 = 6,021 : x
  2. Step 2: Convert to fraction form
    10,001.34/13,794.30 = 6,021/x
  3. Step 3: Cross multiply
    10,001.34x = 13,794.30 × 6,021
  4. Step 4: Simplify right side
    10,001.34x = 83,055,480.30
  5. Step 5: Solve for x
    x = 83,055,480.30/10,001.34
  6. Step 6: Final answer
    x = 8,304.44

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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.