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Finding the Fourth Proportional to 8,235.64, 11,353.26 and 5,086.36

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Solution

The fourth proportional to 8,235.64, 11,353.26 and 5,086.36 is: 7,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.64 : 11,353.26 = 5,086.36 : x
  2. Step 2: Convert to fraction form
    8,235.64/11,353.26 = 5,086.36/x
  3. Step 3: Cross multiply
    8,235.64x = 11,353.26 × 5,086.36
  4. Step 4: Simplify right side
    8,235.64x = 57,746,767.53
  5. Step 5: Solve for x
    x = 57,746,767.53/8,235.64
  6. Step 6: Final answer
    x = 7,011.81

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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.