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Finding the Fourth Proportional to 11,147.05, 15,380.98 and 6,364.81

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Solution

The fourth proportional to 11,147.05, 15,380.98 and 6,364.81 is: 8,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.05 : 15,380.98 = 6,364.81 : x
  2. Step 2: Convert to fraction form
    11,147.05/15,380.98 = 6,364.81/x
  3. Step 3: Cross multiply
    11,147.05x = 15,380.98 × 6,364.81
  4. Step 4: Simplify right side
    11,147.05x = 97,897,015.31
  5. Step 5: Solve for x
    x = 97,897,015.31/11,147.05
  6. Step 6: Final answer
    x = 8,782.32

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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.