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Finding the Fourth Proportional to 8,736.48, 12,055.50 and 5,200.56

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Solution

The fourth proportional to 8,736.48, 12,055.50 and 5,200.56 is: 7,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.48 : 12,055.50 = 5,200.56 : x
  2. Step 2: Convert to fraction form
    8,736.48/12,055.50 = 5,200.56/x
  3. Step 3: Cross multiply
    8,736.48x = 12,055.50 × 5,200.56
  4. Step 4: Simplify right side
    8,736.48x = 62,695,351.08
  5. Step 5: Solve for x
    x = 62,695,351.08/8,736.48
  6. Step 6: Final answer
    x = 7,176.27

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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.