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Finding the Fourth Proportional to 8,390.88, 12,584.70 and 4,013.64

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Solution

The fourth proportional to 8,390.88, 12,584.70 and 4,013.64 is: 6,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.88 : 12,584.70 = 4,013.64 : x
  2. Step 2: Convert to fraction form
    8,390.88/12,584.70 = 4,013.64/x
  3. Step 3: Cross multiply
    8,390.88x = 12,584.70 × 4,013.64
  4. Step 4: Simplify right side
    8,390.88x = 50,510,455.31
  5. Step 5: Solve for x
    x = 50,510,455.31/8,390.88
  6. Step 6: Final answer
    x = 6,019.69

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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.