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Finding the Fourth Proportional to 11,894.95, 17,842.22 and 4,103.56

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Solution

The fourth proportional to 11,894.95, 17,842.22 and 4,103.56 is: 6,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.95 : 17,842.22 = 4,103.56 : x
  2. Step 2: Convert to fraction form
    11,894.95/17,842.22 = 4,103.56/x
  3. Step 3: Cross multiply
    11,894.95x = 17,842.22 × 4,103.56
  4. Step 4: Simplify right side
    11,894.95x = 73,216,510.57
  5. Step 5: Solve for x
    x = 73,216,510.57/11,894.95
  6. Step 6: Final answer
    x = 6,155.26

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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.