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Finding the Fourth Proportional to 10,512, 15,785.84 and 7,024.41

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Solution

The fourth proportional to 10,512, 15,785.84 and 7,024.41 is: 10,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 15,785.84 = 7,024.41 : x
  2. Step 2: Convert to fraction form
    10,512/15,785.84 = 7,024.41/x
  3. Step 3: Cross multiply
    10,512x = 15,785.84 × 7,024.41
  4. Step 4: Simplify right side
    10,512x = 110,886,229.92
  5. Step 5: Solve for x
    x = 110,886,229.92/10,512
  6. Step 6: Final answer
    x = 10,548.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.