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Finding the Fourth Proportional to 8,119.64, 11,204.99 and 4,534.65

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Solution

The fourth proportional to 8,119.64, 11,204.99 and 4,534.65 is: 6,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.64 : 11,204.99 = 4,534.65 : x
  2. Step 2: Convert to fraction form
    8,119.64/11,204.99 = 4,534.65/x
  3. Step 3: Cross multiply
    8,119.64x = 11,204.99 × 4,534.65
  4. Step 4: Simplify right side
    8,119.64x = 50,810,685.23
  5. Step 5: Solve for x
    x = 50,810,685.23/8,119.64
  6. Step 6: Final answer
    x = 6,257.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.