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Finding the Fourth Proportional to 27,438.75, 41,160.88 and 7,448.58

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Solution

The fourth proportional to 27,438.75, 41,160.88 and 7,448.58 is: 11,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.75 : 41,160.88 = 7,448.58 : x
  2. Step 2: Convert to fraction form
    27,438.75/41,160.88 = 7,448.58/x
  3. Step 3: Cross multiply
    27,438.75x = 41,160.88 × 7,448.58
  4. Step 4: Simplify right side
    27,438.75x = 306,590,107.55
  5. Step 5: Solve for x
    x = 306,590,107.55/27,438.75
  6. Step 6: Final answer
    x = 11,173.62

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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.