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Finding the Fourth Proportional to 5,988.30, 8,256.33 and 5,147.34

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Solution

The fourth proportional to 5,988.30, 8,256.33 and 5,147.34 is: 7,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.30 : 8,256.33 = 5,147.34 : x
  2. Step 2: Convert to fraction form
    5,988.30/8,256.33 = 5,147.34/x
  3. Step 3: Cross multiply
    5,988.30x = 8,256.33 × 5,147.34
  4. Step 4: Simplify right side
    5,988.30x = 42,498,137.66
  5. Step 5: Solve for x
    x = 42,498,137.66/5,988.30
  6. Step 6: Final answer
    x = 7,096.86

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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.