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Finding the Fourth Proportional to 11,828.91, 16,327.26 and 7,052.13

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Solution

The fourth proportional to 11,828.91, 16,327.26 and 7,052.13 is: 9,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.91 : 16,327.26 = 7,052.13 : x
  2. Step 2: Convert to fraction form
    11,828.91/16,327.26 = 7,052.13/x
  3. Step 3: Cross multiply
    11,828.91x = 16,327.26 × 7,052.13
  4. Step 4: Simplify right side
    11,828.91x = 115,141,960.06
  5. Step 5: Solve for x
    x = 115,141,960.06/11,828.91
  6. Step 6: Final answer
    x = 9,733.95

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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.