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Finding the Fourth Proportional to 11,622.33, 16,038.92 and 6,317.16

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Solution

The fourth proportional to 11,622.33, 16,038.92 and 6,317.16 is: 8,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.33 : 16,038.92 = 6,317.16 : x
  2. Step 2: Convert to fraction form
    11,622.33/16,038.92 = 6,317.16/x
  3. Step 3: Cross multiply
    11,622.33x = 16,038.92 × 6,317.16
  4. Step 4: Simplify right side
    11,622.33x = 101,320,439.66
  5. Step 5: Solve for x
    x = 101,320,439.66/11,622.33
  6. Step 6: Final answer
    x = 8,717.74

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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.