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Finding the Fourth Proportional to 8,390.74, 12,588.88 and 4,007.64

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Solution

The fourth proportional to 8,390.74, 12,588.88 and 4,007.64 is: 6,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.74 : 12,588.88 = 4,007.64 : x
  2. Step 2: Convert to fraction form
    8,390.74/12,588.88 = 4,007.64/x
  3. Step 3: Cross multiply
    8,390.74x = 12,588.88 × 4,007.64
  4. Step 4: Simplify right side
    8,390.74x = 50,451,699.04
  5. Step 5: Solve for x
    x = 50,451,699.04/8,390.74
  6. Step 6: Final answer
    x = 6,012.78

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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.