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Finding the Fourth Proportional to 8,086.16, 12,135 and 3,470.48

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Solution

The fourth proportional to 8,086.16, 12,135 and 3,470.48 is: 5,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.16 : 12,135 = 3,470.48 : x
  2. Step 2: Convert to fraction form
    8,086.16/12,135 = 3,470.48/x
  3. Step 3: Cross multiply
    8,086.16x = 12,135 × 3,470.48
  4. Step 4: Simplify right side
    8,086.16x = 42,114,274.80
  5. Step 5: Solve for x
    x = 42,114,274.80/8,086.16
  6. Step 6: Final answer
    x = 5,208.19

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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.