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Finding the Fourth Proportional to 11,929.31, 16,459.83 and 7,213.49

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Solution

The fourth proportional to 11,929.31, 16,459.83 and 7,213.49 is: 9,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.31 : 16,459.83 = 7,213.49 : x
  2. Step 2: Convert to fraction form
    11,929.31/16,459.83 = 7,213.49/x
  3. Step 3: Cross multiply
    11,929.31x = 16,459.83 × 7,213.49
  4. Step 4: Simplify right side
    11,929.31x = 118,732,736.81
  5. Step 5: Solve for x
    x = 118,732,736.81/11,929.31
  6. Step 6: Final answer
    x = 9,953.03

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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.