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Finding the Fourth Proportional to 10,111.97, 13,954.01 and 5,636.12

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Solution

The fourth proportional to 10,111.97, 13,954.01 and 5,636.12 is: 7,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.97 : 13,954.01 = 5,636.12 : x
  2. Step 2: Convert to fraction form
    10,111.97/13,954.01 = 5,636.12/x
  3. Step 3: Cross multiply
    10,111.97x = 13,954.01 × 5,636.12
  4. Step 4: Simplify right side
    10,111.97x = 78,646,376.89
  5. Step 5: Solve for x
    x = 78,646,376.89/10,111.97
  6. Step 6: Final answer
    x = 7,777.55

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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.