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Finding the Fourth Proportional to 10,972.67, 16,430.51 and 9,213.62

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Solution

The fourth proportional to 10,972.67, 16,430.51 and 9,213.62 is: 13,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.67 : 16,430.51 = 9,213.62 : x
  2. Step 2: Convert to fraction form
    10,972.67/16,430.51 = 9,213.62/x
  3. Step 3: Cross multiply
    10,972.67x = 16,430.51 × 9,213.62
  4. Step 4: Simplify right side
    10,972.67x = 151,384,416.43
  5. Step 5: Solve for x
    x = 151,384,416.43/10,972.67
  6. Step 6: Final answer
    x = 13,796.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.