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Finding the Fourth Proportional to 11,361.46, 15,678.66 and 6,325.54

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Solution

The fourth proportional to 11,361.46, 15,678.66 and 6,325.54 is: 8,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.46 : 15,678.66 = 6,325.54 : x
  2. Step 2: Convert to fraction form
    11,361.46/15,678.66 = 6,325.54/x
  3. Step 3: Cross multiply
    11,361.46x = 15,678.66 × 6,325.54
  4. Step 4: Simplify right side
    11,361.46x = 99,175,990.98
  5. Step 5: Solve for x
    x = 99,175,990.98/11,361.46
  6. Step 6: Final answer
    x = 8,729.16

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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.