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Finding the Fourth Proportional to 8,302.95, 11,445.39 and 6,143.96

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Solution

The fourth proportional to 8,302.95, 11,445.39 and 6,143.96 is: 8,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.95 : 11,445.39 = 6,143.96 : x
  2. Step 2: Convert to fraction form
    8,302.95/11,445.39 = 6,143.96/x
  3. Step 3: Cross multiply
    8,302.95x = 11,445.39 × 6,143.96
  4. Step 4: Simplify right side
    8,302.95x = 70,320,046.96
  5. Step 5: Solve for x
    x = 70,320,046.96/8,302.95
  6. Step 6: Final answer
    x = 8,469.28

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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.