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Finding the Fourth Proportional to 11,586.26, 15,994.97 and 7,341.73

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Solution

The fourth proportional to 11,586.26, 15,994.97 and 7,341.73 is: 10,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.26 : 15,994.97 = 7,341.73 : x
  2. Step 2: Convert to fraction form
    11,586.26/15,994.97 = 7,341.73/x
  3. Step 3: Cross multiply
    11,586.26x = 15,994.97 × 7,341.73
  4. Step 4: Simplify right side
    11,586.26x = 117,430,701.93
  5. Step 5: Solve for x
    x = 117,430,701.93/11,586.26
  6. Step 6: Final answer
    x = 10,135.34

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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.