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Finding the Fourth Proportional to 10,146.79, 15,223.27 and 7,190.95

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Solution

The fourth proportional to 10,146.79, 15,223.27 and 7,190.95 is: 10,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.79 : 15,223.27 = 7,190.95 : x
  2. Step 2: Convert to fraction form
    10,146.79/15,223.27 = 7,190.95/x
  3. Step 3: Cross multiply
    10,146.79x = 15,223.27 × 7,190.95
  4. Step 4: Simplify right side
    10,146.79x = 109,469,781.99
  5. Step 5: Solve for x
    x = 109,469,781.99/10,146.79
  6. Step 6: Final answer
    x = 10,788.61

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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.