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Finding the Fourth Proportional to 11,515.71, 15,858.75 and 10,371.63

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Solution

The fourth proportional to 11,515.71, 15,858.75 and 10,371.63 is: 14,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.71 : 15,858.75 = 10,371.63 : x
  2. Step 2: Convert to fraction form
    11,515.71/15,858.75 = 10,371.63/x
  3. Step 3: Cross multiply
    11,515.71x = 15,858.75 × 10,371.63
  4. Step 4: Simplify right side
    11,515.71x = 164,481,087.26
  5. Step 5: Solve for x
    x = 164,481,087.26/11,515.71
  6. Step 6: Final answer
    x = 14,283.19

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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.