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Finding the Fourth Proportional to 11,683.56, 16,122.72 and 6,378.24

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Solution

The fourth proportional to 11,683.56, 16,122.72 and 6,378.24 is: 8,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.56 : 16,122.72 = 6,378.24 : x
  2. Step 2: Convert to fraction form
    11,683.56/16,122.72 = 6,378.24/x
  3. Step 3: Cross multiply
    11,683.56x = 16,122.72 × 6,378.24
  4. Step 4: Simplify right side
    11,683.56x = 102,834,577.61
  5. Step 5: Solve for x
    x = 102,834,577.61/11,683.56
  6. Step 6: Final answer
    x = 8,801.65

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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.