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Finding the Fourth Proportional to 8,540.71, 11,786.99 and 5,354.51

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Solution

The fourth proportional to 8,540.71, 11,786.99 and 5,354.51 is: 7,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.71 : 11,786.99 = 5,354.51 : x
  2. Step 2: Convert to fraction form
    8,540.71/11,786.99 = 5,354.51/x
  3. Step 3: Cross multiply
    8,540.71x = 11,786.99 × 5,354.51
  4. Step 4: Simplify right side
    8,540.71x = 63,113,470.12
  5. Step 5: Solve for x
    x = 63,113,470.12/8,540.71
  6. Step 6: Final answer
    x = 7,389.72

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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.