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Finding the Fourth Proportional to 8,538.04, 11,783.27 and 5,181.71

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Solution

The fourth proportional to 8,538.04, 11,783.27 and 5,181.71 is: 7,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.04 : 11,783.27 = 5,181.71 : x
  2. Step 2: Convert to fraction form
    8,538.04/11,783.27 = 5,181.71/x
  3. Step 3: Cross multiply
    8,538.04x = 11,783.27 × 5,181.71
  4. Step 4: Simplify right side
    8,538.04x = 61,057,487.99
  5. Step 5: Solve for x
    x = 61,057,487.99/8,538.04
  6. Step 6: Final answer
    x = 7,151.23

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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.