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Finding the Fourth Proportional to 7,023.60, 10,519.20 and 4,820.40

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Solution

The fourth proportional to 7,023.60, 10,519.20 and 4,820.40 is: 7,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.60 : 10,519.20 = 4,820.40 : x
  2. Step 2: Convert to fraction form
    7,023.60/10,519.20 = 4,820.40/x
  3. Step 3: Cross multiply
    7,023.60x = 10,519.20 × 4,820.40
  4. Step 4: Simplify right side
    7,023.60x = 50,706,751.68
  5. Step 5: Solve for x
    x = 50,706,751.68/7,023.60
  6. Step 6: Final answer
    x = 7,219.48

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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.