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Finding the Fourth Proportional to 11,585.70, 17,378.51 and 2,820.56

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Solution

The fourth proportional to 11,585.70, 17,378.51 and 2,820.56 is: 4,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.70 : 17,378.51 = 2,820.56 : x
  2. Step 2: Convert to fraction form
    11,585.70/17,378.51 = 2,820.56/x
  3. Step 3: Cross multiply
    11,585.70x = 17,378.51 × 2,820.56
  4. Step 4: Simplify right side
    11,585.70x = 49,017,029.17
  5. Step 5: Solve for x
    x = 49,017,029.17/11,585.70
  6. Step 6: Final answer
    x = 4,230.82

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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.