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Finding the Fourth Proportional to 11,822.44, 16,314.28 and 7,346.08

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Solution

The fourth proportional to 11,822.44, 16,314.28 and 7,346.08 is: 10,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.44 : 16,314.28 = 7,346.08 : x
  2. Step 2: Convert to fraction form
    11,822.44/16,314.28 = 7,346.08/x
  3. Step 3: Cross multiply
    11,822.44x = 16,314.28 × 7,346.08
  4. Step 4: Simplify right side
    11,822.44x = 119,846,006.02
  5. Step 5: Solve for x
    x = 119,846,006.02/11,822.44
  6. Step 6: Final answer
    x = 10,137.16

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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.