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Finding the Fourth Proportional to 6,077.63, 8,387.12 and 3,283.13

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Solution

The fourth proportional to 6,077.63, 8,387.12 and 3,283.13 is: 4,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.63 : 8,387.12 = 3,283.13 : x
  2. Step 2: Convert to fraction form
    6,077.63/8,387.12 = 3,283.13/x
  3. Step 3: Cross multiply
    6,077.63x = 8,387.12 × 3,283.13
  4. Step 4: Simplify right side
    6,077.63x = 27,535,971.56
  5. Step 5: Solve for x
    x = 27,535,971.56/6,077.63
  6. Step 6: Final answer
    x = 4,530.71

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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.