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Finding the Fourth Proportional to 11,453.84, 15,806.17 and 6,418.27

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Solution

The fourth proportional to 11,453.84, 15,806.17 and 6,418.27 is: 8,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.84 : 15,806.17 = 6,418.27 : x
  2. Step 2: Convert to fraction form
    11,453.84/15,806.17 = 6,418.27/x
  3. Step 3: Cross multiply
    11,453.84x = 15,806.17 × 6,418.27
  4. Step 4: Simplify right side
    11,453.84x = 101,448,294.51
  5. Step 5: Solve for x
    x = 101,448,294.51/11,453.84
  6. Step 6: Final answer
    x = 8,857.14

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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.