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Finding the Fourth Proportional to 6,340.21, 8,743.82 and 5,281.49

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Solution

The fourth proportional to 6,340.21, 8,743.82 and 5,281.49 is: 7,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.21 : 8,743.82 = 5,281.49 : x
  2. Step 2: Convert to fraction form
    6,340.21/8,743.82 = 5,281.49/x
  3. Step 3: Cross multiply
    6,340.21x = 8,743.82 × 5,281.49
  4. Step 4: Simplify right side
    6,340.21x = 46,180,393.34
  5. Step 5: Solve for x
    x = 46,180,393.34/6,340.21
  6. Step 6: Final answer
    x = 7,283.74

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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.