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Finding the Fourth Proportional to 11,672.24, 16,104.84 and 7,486.16

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Solution

The fourth proportional to 11,672.24, 16,104.84 and 7,486.16 is: 10,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.24 : 16,104.84 = 7,486.16 : x
  2. Step 2: Convert to fraction form
    11,672.24/16,104.84 = 7,486.16/x
  3. Step 3: Cross multiply
    11,672.24x = 16,104.84 × 7,486.16
  4. Step 4: Simplify right side
    11,672.24x = 120,563,409.01
  5. Step 5: Solve for x
    x = 120,563,409.01/11,672.24
  6. Step 6: Final answer
    x = 10,329.07

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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.