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Finding the Fourth Proportional to 11,585.52, 17,378.31 and 2,820.42

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Solution

The fourth proportional to 11,585.52, 17,378.31 and 2,820.42 is: 4,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.52 : 17,378.31 = 2,820.42 : x
  2. Step 2: Convert to fraction form
    11,585.52/17,378.31 = 2,820.42/x
  3. Step 3: Cross multiply
    11,585.52x = 17,378.31 × 2,820.42
  4. Step 4: Simplify right side
    11,585.52x = 49,014,133.09
  5. Step 5: Solve for x
    x = 49,014,133.09/11,585.52
  6. Step 6: Final answer
    x = 4,230.64

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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.