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Finding the Fourth Proportional to 11,361.34, 15,674.59 and 6,578.67

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Solution

The fourth proportional to 11,361.34, 15,674.59 and 6,578.67 is: 9,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.34 : 15,674.59 = 6,578.67 : x
  2. Step 2: Convert to fraction form
    11,361.34/15,674.59 = 6,578.67/x
  3. Step 3: Cross multiply
    11,361.34x = 15,674.59 × 6,578.67
  4. Step 4: Simplify right side
    11,361.34x = 103,117,922.10
  5. Step 5: Solve for x
    x = 103,117,922.10/11,361.34
  6. Step 6: Final answer
    x = 9,076.21

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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.