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Finding the Fourth Proportional to 11,573.74, 17,362.23 and 3,780.58

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Solution

The fourth proportional to 11,573.74, 17,362.23 and 3,780.58 is: 5,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.74 : 17,362.23 = 3,780.58 : x
  2. Step 2: Convert to fraction form
    11,573.74/17,362.23 = 3,780.58/x
  3. Step 3: Cross multiply
    11,573.74x = 17,362.23 × 3,780.58
  4. Step 4: Simplify right side
    11,573.74x = 65,639,299.49
  5. Step 5: Solve for x
    x = 65,639,299.49/11,573.74
  6. Step 6: Final answer
    x = 5,671.40

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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.