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Finding the Fourth Proportional to 8,284.88, 12,407.04 and 5,354.36

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Solution

The fourth proportional to 8,284.88, 12,407.04 and 5,354.36 is: 8,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.88 : 12,407.04 = 5,354.36 : x
  2. Step 2: Convert to fraction form
    8,284.88/12,407.04 = 5,354.36/x
  3. Step 3: Cross multiply
    8,284.88x = 12,407.04 × 5,354.36
  4. Step 4: Simplify right side
    8,284.88x = 66,431,758.69
  5. Step 5: Solve for x
    x = 66,431,758.69/8,284.88
  6. Step 6: Final answer
    x = 8,018.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.