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Finding the Fourth Proportional to 11,467.43, 15,829.56 and 7,689.22

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Solution

The fourth proportional to 11,467.43, 15,829.56 and 7,689.22 is: 10,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.43 : 15,829.56 = 7,689.22 : x
  2. Step 2: Convert to fraction form
    11,467.43/15,829.56 = 7,689.22/x
  3. Step 3: Cross multiply
    11,467.43x = 15,829.56 × 7,689.22
  4. Step 4: Simplify right side
    11,467.43x = 121,716,851.75
  5. Step 5: Solve for x
    x = 121,716,851.75/11,467.43
  6. Step 6: Final answer
    x = 10,614.14

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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.