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Finding the Fourth Proportional to 10,996.89, 15,178.05 and 7,017.09

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Solution

The fourth proportional to 10,996.89, 15,178.05 and 7,017.09 is: 9,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.89 : 15,178.05 = 7,017.09 : x
  2. Step 2: Convert to fraction form
    10,996.89/15,178.05 = 7,017.09/x
  3. Step 3: Cross multiply
    10,996.89x = 15,178.05 × 7,017.09
  4. Step 4: Simplify right side
    10,996.89x = 106,505,742.87
  5. Step 5: Solve for x
    x = 106,505,742.87/10,996.89
  6. Step 6: Final answer
    x = 9,685.08

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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.