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Finding the Fourth Proportional to 27,470.07, 41,205 and 7,748.58

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Solution

The fourth proportional to 27,470.07, 41,205 and 7,748.58 is: 11,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.07 : 41,205 = 7,748.58 : x
  2. Step 2: Convert to fraction form
    27,470.07/41,205 = 7,748.58/x
  3. Step 3: Cross multiply
    27,470.07x = 41,205 × 7,748.58
  4. Step 4: Simplify right side
    27,470.07x = 319,280,238.90
  5. Step 5: Solve for x
    x = 319,280,238.90/27,470.07
  6. Step 6: Final answer
    x = 11,622.84

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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.