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Finding the Fourth Proportional to 8,472.55, 11,686.26 and 5,815.34

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Solution

The fourth proportional to 8,472.55, 11,686.26 and 5,815.34 is: 8,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.55 : 11,686.26 = 5,815.34 : x
  2. Step 2: Convert to fraction form
    8,472.55/11,686.26 = 5,815.34/x
  3. Step 3: Cross multiply
    8,472.55x = 11,686.26 × 5,815.34
  4. Step 4: Simplify right side
    8,472.55x = 67,959,546.15
  5. Step 5: Solve for x
    x = 67,959,546.15/8,472.55
  6. Step 6: Final answer
    x = 8,021.15

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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.