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Finding the Fourth Proportional to 10,677.81, 15,992.10 and 7,393.23

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Solution

The fourth proportional to 10,677.81, 15,992.10 and 7,393.23 is: 11,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.81 : 15,992.10 = 7,393.23 : x
  2. Step 2: Convert to fraction form
    10,677.81/15,992.10 = 7,393.23/x
  3. Step 3: Cross multiply
    10,677.81x = 15,992.10 × 7,393.23
  4. Step 4: Simplify right side
    10,677.81x = 118,233,273.48
  5. Step 5: Solve for x
    x = 118,233,273.48/10,677.81
  6. Step 6: Final answer
    x = 11,072.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.