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Finding the Fourth Proportional to 6,313.18, 8,711.53 and 3,661.46

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Solution

The fourth proportional to 6,313.18, 8,711.53 and 3,661.46 is: 5,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.18 : 8,711.53 = 3,661.46 : x
  2. Step 2: Convert to fraction form
    6,313.18/8,711.53 = 3,661.46/x
  3. Step 3: Cross multiply
    6,313.18x = 8,711.53 × 3,661.46
  4. Step 4: Simplify right side
    6,313.18x = 31,896,918.63
  5. Step 5: Solve for x
    x = 31,896,918.63/6,313.18
  6. Step 6: Final answer
    x = 5,052.43

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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.