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Finding the Fourth Proportional to 8,119.51, 11,204.64 and 4,534.65

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Solution

The fourth proportional to 8,119.51, 11,204.64 and 4,534.65 is: 6,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.51 : 11,204.64 = 4,534.65 : x
  2. Step 2: Convert to fraction form
    8,119.51/11,204.64 = 4,534.65/x
  3. Step 3: Cross multiply
    8,119.51x = 11,204.64 × 4,534.65
  4. Step 4: Simplify right side
    8,119.51x = 50,809,120.78
  5. Step 5: Solve for x
    x = 50,809,120.78/8,119.51
  6. Step 6: Final answer
    x = 6,257.66

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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.