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Finding the Fourth Proportional to 8,361.36, 11,538.72 and 4,824.72

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Solution

The fourth proportional to 8,361.36, 11,538.72 and 4,824.72 is: 6,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.36 : 11,538.72 = 4,824.72 : x
  2. Step 2: Convert to fraction form
    8,361.36/11,538.72 = 4,824.72/x
  3. Step 3: Cross multiply
    8,361.36x = 11,538.72 × 4,824.72
  4. Step 4: Simplify right side
    8,361.36x = 55,671,093.16
  5. Step 5: Solve for x
    x = 55,671,093.16/8,361.36
  6. Step 6: Final answer
    x = 6,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.