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Finding the Fourth Proportional to 8,535.76, 11,778.90 and 5,883.04

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Solution

The fourth proportional to 8,535.76, 11,778.90 and 5,883.04 is: 8,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.76 : 11,778.90 = 5,883.04 : x
  2. Step 2: Convert to fraction form
    8,535.76/11,778.90 = 5,883.04/x
  3. Step 3: Cross multiply
    8,535.76x = 11,778.90 × 5,883.04
  4. Step 4: Simplify right side
    8,535.76x = 69,295,739.86
  5. Step 5: Solve for x
    x = 69,295,739.86/8,535.76
  6. Step 6: Final answer
    x = 8,118.29

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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.