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Finding the Fourth Proportional to 8,470.26, 12,713.60 and 4,090.80

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Solution

The fourth proportional to 8,470.26, 12,713.60 and 4,090.80 is: 6,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.26 : 12,713.60 = 4,090.80 : x
  2. Step 2: Convert to fraction form
    8,470.26/12,713.60 = 4,090.80/x
  3. Step 3: Cross multiply
    8,470.26x = 12,713.60 × 4,090.80
  4. Step 4: Simplify right side
    8,470.26x = 52,008,794.88
  5. Step 5: Solve for x
    x = 52,008,794.88/8,470.26
  6. Step 6: Final answer
    x = 6,140.17

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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.