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Finding the Fourth Proportional to 8,212.79, 12,315.24 and 5,748.77

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Solution

The fourth proportional to 8,212.79, 12,315.24 and 5,748.77 is: 8,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.79 : 12,315.24 = 5,748.77 : x
  2. Step 2: Convert to fraction form
    8,212.79/12,315.24 = 5,748.77/x
  3. Step 3: Cross multiply
    8,212.79x = 12,315.24 × 5,748.77
  4. Step 4: Simplify right side
    8,212.79x = 70,797,513.04
  5. Step 5: Solve for x
    x = 70,797,513.04/8,212.79
  6. Step 6: Final answer
    x = 8,620.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.