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Finding the Fourth Proportional to 11,447.50, 15,792.26 and 7,467.16

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Solution

The fourth proportional to 11,447.50, 15,792.26 and 7,467.16 is: 10,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.50 : 15,792.26 = 7,467.16 : x
  2. Step 2: Convert to fraction form
    11,447.50/15,792.26 = 7,467.16/x
  3. Step 3: Cross multiply
    11,447.50x = 15,792.26 × 7,467.16
  4. Step 4: Simplify right side
    11,447.50x = 117,923,332.18
  5. Step 5: Solve for x
    x = 117,923,332.18/11,447.50
  6. Step 6: Final answer
    x = 10,301.23

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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.