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Finding the Fourth Proportional to 10,144.41, 13,998.03 and 5,668.02

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Solution

The fourth proportional to 10,144.41, 13,998.03 and 5,668.02 is: 7,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.41 : 13,998.03 = 5,668.02 : x
  2. Step 2: Convert to fraction form
    10,144.41/13,998.03 = 5,668.02/x
  3. Step 3: Cross multiply
    10,144.41x = 13,998.03 × 5,668.02
  4. Step 4: Simplify right side
    10,144.41x = 79,341,114.00
  5. Step 5: Solve for x
    x = 79,341,114.00/10,144.41
  6. Step 6: Final answer
    x = 7,821.17

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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.