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Finding the Fourth Proportional to 7,819.20, 11,730.80 and 5,515.20

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Solution

The fourth proportional to 7,819.20, 11,730.80 and 5,515.20 is: 8,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.20 : 11,730.80 = 5,515.20 : x
  2. Step 2: Convert to fraction form
    7,819.20/11,730.80 = 5,515.20/x
  3. Step 3: Cross multiply
    7,819.20x = 11,730.80 × 5,515.20
  4. Step 4: Simplify right side
    7,819.20x = 64,697,708.16
  5. Step 5: Solve for x
    x = 64,697,708.16/7,819.20
  6. Step 6: Final answer
    x = 8,274.21

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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.