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Finding the Fourth Proportional to 11,422.29, 15,735.64 and 10,859.48

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Solution

The fourth proportional to 11,422.29, 15,735.64 and 10,859.48 is: 14,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.29 : 15,735.64 = 10,859.48 : x
  2. Step 2: Convert to fraction form
    11,422.29/15,735.64 = 10,859.48/x
  3. Step 3: Cross multiply
    11,422.29x = 15,735.64 × 10,859.48
  4. Step 4: Simplify right side
    11,422.29x = 170,880,825.36
  5. Step 5: Solve for x
    x = 170,880,825.36/11,422.29
  6. Step 6: Final answer
    x = 14,960.29

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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.