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Finding the Fourth Proportional to 8,472.80, 11,686.60 and 5,815.59

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Solution

The fourth proportional to 8,472.80, 11,686.60 and 5,815.59 is: 8,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.80 : 11,686.60 = 5,815.59 : x
  2. Step 2: Convert to fraction form
    8,472.80/11,686.60 = 5,815.59/x
  3. Step 3: Cross multiply
    8,472.80x = 11,686.60 × 5,815.59
  4. Step 4: Simplify right side
    8,472.80x = 67,964,459.56
  5. Step 5: Solve for x
    x = 67,964,459.56/8,472.80
  6. Step 6: Final answer
    x = 8,021.49

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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.