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Finding the Fourth Proportional to 8,273.46, 12,410.32 and 2,430.20

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Solution

The fourth proportional to 8,273.46, 12,410.32 and 2,430.20 is: 3,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.46 : 12,410.32 = 2,430.20 : x
  2. Step 2: Convert to fraction form
    8,273.46/12,410.32 = 2,430.20/x
  3. Step 3: Cross multiply
    8,273.46x = 12,410.32 × 2,430.20
  4. Step 4: Simplify right side
    8,273.46x = 30,159,559.66
  5. Step 5: Solve for x
    x = 30,159,559.66/8,273.46
  6. Step 6: Final answer
    x = 3,645.34

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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.