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Finding the Fourth Proportional to 11,537.60, 17,306.41 and 3,746.41

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Solution

The fourth proportional to 11,537.60, 17,306.41 and 3,746.41 is: 5,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.60 : 17,306.41 = 3,746.41 : x
  2. Step 2: Convert to fraction form
    11,537.60/17,306.41 = 3,746.41/x
  3. Step 3: Cross multiply
    11,537.60x = 17,306.41 × 3,746.41
  4. Step 4: Simplify right side
    11,537.60x = 64,836,983.57
  5. Step 5: Solve for x
    x = 64,836,983.57/11,537.60
  6. Step 6: Final answer
    x = 5,619.62

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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.