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Finding the Fourth Proportional to 10,523.81, 15,785.62 and 2,626.27

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Solution

The fourth proportional to 10,523.81, 15,785.62 and 2,626.27 is: 3,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.81 : 15,785.62 = 2,626.27 : x
  2. Step 2: Convert to fraction form
    10,523.81/15,785.62 = 2,626.27/x
  3. Step 3: Cross multiply
    10,523.81x = 15,785.62 × 2,626.27
  4. Step 4: Simplify right side
    10,523.81x = 41,457,300.24
  5. Step 5: Solve for x
    x = 41,457,300.24/10,523.81
  6. Step 6: Final answer
    x = 3,939.38

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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.