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Finding the Fourth Proportional to 11,972.67, 16,527.42 and 7,495.47

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Solution

The fourth proportional to 11,972.67, 16,527.42 and 7,495.47 is: 10,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.67 : 16,527.42 = 7,495.47 : x
  2. Step 2: Convert to fraction form
    11,972.67/16,527.42 = 7,495.47/x
  3. Step 3: Cross multiply
    11,972.67x = 16,527.42 × 7,495.47
  4. Step 4: Simplify right side
    11,972.67x = 123,880,780.79
  5. Step 5: Solve for x
    x = 123,880,780.79/11,972.67
  6. Step 6: Final answer
    x = 10,346.96

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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.