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Finding the Fourth Proportional to 8,164.85, 11,256.91 and 5,288.46

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Solution

The fourth proportional to 8,164.85, 11,256.91 and 5,288.46 is: 7,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.85 : 11,256.91 = 5,288.46 : x
  2. Step 2: Convert to fraction form
    8,164.85/11,256.91 = 5,288.46/x
  3. Step 3: Cross multiply
    8,164.85x = 11,256.91 × 5,288.46
  4. Step 4: Simplify right side
    8,164.85x = 59,531,662.82
  5. Step 5: Solve for x
    x = 59,531,662.82/8,164.85
  6. Step 6: Final answer
    x = 7,291.22

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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.