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Finding the Fourth Proportional to 11,178.74, 15,433.42 and 7,405.12

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Solution

The fourth proportional to 11,178.74, 15,433.42 and 7,405.12 is: 10,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.74 : 15,433.42 = 7,405.12 : x
  2. Step 2: Convert to fraction form
    11,178.74/15,433.42 = 7,405.12/x
  3. Step 3: Cross multiply
    11,178.74x = 15,433.42 × 7,405.12
  4. Step 4: Simplify right side
    11,178.74x = 114,286,249.94
  5. Step 5: Solve for x
    x = 114,286,249.94/11,178.74
  6. Step 6: Final answer
    x = 10,223.54

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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.