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Finding the Fourth Proportional to 13,120.53, 18,105.78 and 7,152.06

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Solution

The fourth proportional to 13,120.53, 18,105.78 and 7,152.06 is: 9,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.53 : 18,105.78 = 7,152.06 : x
  2. Step 2: Convert to fraction form
    13,120.53/18,105.78 = 7,152.06/x
  3. Step 3: Cross multiply
    13,120.53x = 18,105.78 × 7,152.06
  4. Step 4: Simplify right side
    13,120.53x = 129,493,624.91
  5. Step 5: Solve for x
    x = 129,493,624.91/13,120.53
  6. Step 6: Final answer
    x = 9,869.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.