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Finding the Fourth Proportional to 7,585.74, 11,380.14 and 3,203.19

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Solution

The fourth proportional to 7,585.74, 11,380.14 and 3,203.19 is: 4,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.74 : 11,380.14 = 3,203.19 : x
  2. Step 2: Convert to fraction form
    7,585.74/11,380.14 = 3,203.19/x
  3. Step 3: Cross multiply
    7,585.74x = 11,380.14 × 3,203.19
  4. Step 4: Simplify right side
    7,585.74x = 36,452,750.65
  5. Step 5: Solve for x
    x = 36,452,750.65/7,585.74
  6. Step 6: Final answer
    x = 4,805.43

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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.