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Finding the Fourth Proportional to 8,140.75, 12,208.69 and 3,460.74

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Solution

The fourth proportional to 8,140.75, 12,208.69 and 3,460.74 is: 5,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.75 : 12,208.69 = 3,460.74 : x
  2. Step 2: Convert to fraction form
    8,140.75/12,208.69 = 3,460.74/x
  3. Step 3: Cross multiply
    8,140.75x = 12,208.69 × 3,460.74
  4. Step 4: Simplify right side
    8,140.75x = 42,251,101.83
  5. Step 5: Solve for x
    x = 42,251,101.83/8,140.75
  6. Step 6: Final answer
    x = 5,190.07

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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.