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Finding the Fourth Proportional to 8,782.96, 13,174.37 and 3,585.19

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Solution

The fourth proportional to 8,782.96, 13,174.37 and 3,585.19 is: 5,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.96 : 13,174.37 = 3,585.19 : x
  2. Step 2: Convert to fraction form
    8,782.96/13,174.37 = 3,585.19/x
  3. Step 3: Cross multiply
    8,782.96x = 13,174.37 × 3,585.19
  4. Step 4: Simplify right side
    8,782.96x = 47,232,619.58
  5. Step 5: Solve for x
    x = 47,232,619.58/8,782.96
  6. Step 6: Final answer
    x = 5,377.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.