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Finding the Fourth Proportional to 10,161.33, 14,019.89 and 6,975.60

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Solution

The fourth proportional to 10,161.33, 14,019.89 and 6,975.60 is: 9,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.33 : 14,019.89 = 6,975.60 : x
  2. Step 2: Convert to fraction form
    10,161.33/14,019.89 = 6,975.60/x
  3. Step 3: Cross multiply
    10,161.33x = 14,019.89 × 6,975.60
  4. Step 4: Simplify right side
    10,161.33x = 97,797,109.81
  5. Step 5: Solve for x
    x = 97,797,109.81/10,161.33
  6. Step 6: Final answer
    x = 9,624.44

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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.