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Finding the Fourth Proportional to 8,270.31, 11,408.48 and 5,239.88

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Solution

The fourth proportional to 8,270.31, 11,408.48 and 5,239.88 is: 7,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.31 : 11,408.48 = 5,239.88 : x
  2. Step 2: Convert to fraction form
    8,270.31/11,408.48 = 5,239.88/x
  3. Step 3: Cross multiply
    8,270.31x = 11,408.48 × 5,239.88
  4. Step 4: Simplify right side
    8,270.31x = 59,779,066.18
  5. Step 5: Solve for x
    x = 59,779,066.18/8,270.31
  6. Step 6: Final answer
    x = 7,228.15

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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.