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Finding the Fourth Proportional to 8,184.68, 12,267.32 and 3,735.52

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Solution

The fourth proportional to 8,184.68, 12,267.32 and 3,735.52 is: 5,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.68 : 12,267.32 = 3,735.52 : x
  2. Step 2: Convert to fraction form
    8,184.68/12,267.32 = 3,735.52/x
  3. Step 3: Cross multiply
    8,184.68x = 12,267.32 × 3,735.52
  4. Step 4: Simplify right side
    8,184.68x = 45,824,769.86
  5. Step 5: Solve for x
    x = 45,824,769.86/8,184.68
  6. Step 6: Final answer
    x = 5,598.85

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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.