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Finding the Fourth Proportional to 8,507.69, 11,736.51 and 5,524.46

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Solution

The fourth proportional to 8,507.69, 11,736.51 and 5,524.46 is: 7,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.69 : 11,736.51 = 5,524.46 : x
  2. Step 2: Convert to fraction form
    8,507.69/11,736.51 = 5,524.46/x
  3. Step 3: Cross multiply
    8,507.69x = 11,736.51 × 5,524.46
  4. Step 4: Simplify right side
    8,507.69x = 64,837,821.35
  5. Step 5: Solve for x
    x = 64,837,821.35/8,507.69
  6. Step 6: Final answer
    x = 7,621.09

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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.