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Finding the Fourth Proportional to 6,684.96, 10,023.36 and 2,301.20

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Solution

The fourth proportional to 6,684.96, 10,023.36 and 2,301.20 is: 3,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.96 : 10,023.36 = 2,301.20 : x
  2. Step 2: Convert to fraction form
    6,684.96/10,023.36 = 2,301.20/x
  3. Step 3: Cross multiply
    6,684.96x = 10,023.36 × 2,301.20
  4. Step 4: Simplify right side
    6,684.96x = 23,065,756.03
  5. Step 5: Solve for x
    x = 23,065,756.03/6,684.96
  6. Step 6: Final answer
    x = 3,450.40

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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.