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Finding the Fourth Proportional to 8,736.90, 12,057.96 and 5,200.08

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Solution

The fourth proportional to 8,736.90, 12,057.96 and 5,200.08 is: 7,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.90 : 12,057.96 = 5,200.08 : x
  2. Step 2: Convert to fraction form
    8,736.90/12,057.96 = 5,200.08/x
  3. Step 3: Cross multiply
    8,736.90x = 12,057.96 × 5,200.08
  4. Step 4: Simplify right side
    8,736.90x = 62,702,356.64
  5. Step 5: Solve for x
    x = 62,702,356.64/8,736.90
  6. Step 6: Final answer
    x = 7,176.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.