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Finding the Fourth Proportional to 8,532.64, 12,800.70 and 4,836.52

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Solution

The fourth proportional to 8,532.64, 12,800.70 and 4,836.52 is: 7,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.64 : 12,800.70 = 4,836.52 : x
  2. Step 2: Convert to fraction form
    8,532.64/12,800.70 = 4,836.52/x
  3. Step 3: Cross multiply
    8,532.64x = 12,800.70 × 4,836.52
  4. Step 4: Simplify right side
    8,532.64x = 61,910,841.56
  5. Step 5: Solve for x
    x = 61,910,841.56/8,532.64
  6. Step 6: Final answer
    x = 7,255.77

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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.