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Finding the Fourth Proportional to 10,892.82, 15,029.76 and 6,414.93

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Solution

The fourth proportional to 10,892.82, 15,029.76 and 6,414.93 is: 8,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.82 : 15,029.76 = 6,414.93 : x
  2. Step 2: Convert to fraction form
    10,892.82/15,029.76 = 6,414.93/x
  3. Step 3: Cross multiply
    10,892.82x = 15,029.76 × 6,414.93
  4. Step 4: Simplify right side
    10,892.82x = 96,414,858.32
  5. Step 5: Solve for x
    x = 96,414,858.32/10,892.82
  6. Step 6: Final answer
    x = 8,851.23

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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.