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Finding the Fourth Proportional to 8,164.64, 11,256.77 and 5,288.29

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Solution

The fourth proportional to 8,164.64, 11,256.77 and 5,288.29 is: 7,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.64 : 11,256.77 = 5,288.29 : x
  2. Step 2: Convert to fraction form
    8,164.64/11,256.77 = 5,288.29/x
  3. Step 3: Cross multiply
    8,164.64x = 11,256.77 × 5,288.29
  4. Step 4: Simplify right side
    8,164.64x = 59,529,092.79
  5. Step 5: Solve for x
    x = 59,529,092.79/8,164.64
  6. Step 6: Final answer
    x = 7,291.08

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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.