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Finding the Fourth Proportional to 11,872.24, 16,372.96 and 7,618.40

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Solution

The fourth proportional to 11,872.24, 16,372.96 and 7,618.40 is: 10,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.24 : 16,372.96 = 7,618.40 : x
  2. Step 2: Convert to fraction form
    11,872.24/16,372.96 = 7,618.40/x
  3. Step 3: Cross multiply
    11,872.24x = 16,372.96 × 7,618.40
  4. Step 4: Simplify right side
    11,872.24x = 124,735,758.46
  5. Step 5: Solve for x
    x = 124,735,758.46/11,872.24
  6. Step 6: Final answer
    x = 10,506.51

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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.