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Finding the Fourth Proportional to 10,523.56, 15,751.32 and 5,772.94

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Solution

The fourth proportional to 10,523.56, 15,751.32 and 5,772.94 is: 8,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.56 : 15,751.32 = 5,772.94 : x
  2. Step 2: Convert to fraction form
    10,523.56/15,751.32 = 5,772.94/x
  3. Step 3: Cross multiply
    10,523.56x = 15,751.32 × 5,772.94
  4. Step 4: Simplify right side
    10,523.56x = 90,931,425.28
  5. Step 5: Solve for x
    x = 90,931,425.28/10,523.56
  6. Step 6: Final answer
    x = 8,640.75

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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.