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Finding the Fourth Proportional to 11,826.33, 16,319.72 and 7,349.99

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Solution

The fourth proportional to 11,826.33, 16,319.72 and 7,349.99 is: 10,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.33 : 16,319.72 = 7,349.99 : x
  2. Step 2: Convert to fraction form
    11,826.33/16,319.72 = 7,349.99/x
  3. Step 3: Cross multiply
    11,826.33x = 16,319.72 × 7,349.99
  4. Step 4: Simplify right side
    11,826.33x = 119,949,697.20
  5. Step 5: Solve for x
    x = 119,949,697.20/11,826.33
  6. Step 6: Final answer
    x = 10,142.60

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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.