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Finding the Fourth Proportional to 8,242.36, 12,364.45 and 3,563.60

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Solution

The fourth proportional to 8,242.36, 12,364.45 and 3,563.60 is: 5,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.36 : 12,364.45 = 3,563.60 : x
  2. Step 2: Convert to fraction form
    8,242.36/12,364.45 = 3,563.60/x
  3. Step 3: Cross multiply
    8,242.36x = 12,364.45 × 3,563.60
  4. Step 4: Simplify right side
    8,242.36x = 44,061,883.29
  5. Step 5: Solve for x
    x = 44,061,883.29/8,242.36
  6. Step 6: Final answer
    x = 5,345.79

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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.