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Finding the Fourth Proportional to 7,674.52, 11,515.20 and 4,211.68

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Solution

The fourth proportional to 7,674.52, 11,515.20 and 4,211.68 is: 6,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.52 : 11,515.20 = 4,211.68 : x
  2. Step 2: Convert to fraction form
    7,674.52/11,515.20 = 4,211.68/x
  3. Step 3: Cross multiply
    7,674.52x = 11,515.20 × 4,211.68
  4. Step 4: Simplify right side
    7,674.52x = 48,498,337.54
  5. Step 5: Solve for x
    x = 48,498,337.54/7,674.52
  6. Step 6: Final answer
    x = 6,319.40

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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.