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Finding the Fourth Proportional to 6,532.92, 9,811.80 and 4,072.32

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Solution

The fourth proportional to 6,532.92, 9,811.80 and 4,072.32 is: 6,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,811.80 = 4,072.32 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,811.80 = 4,072.32/x
  3. Step 3: Cross multiply
    6,532.92x = 9,811.80 × 4,072.32
  4. Step 4: Simplify right side
    6,532.92x = 39,956,789.38
  5. Step 5: Solve for x
    x = 39,956,789.38/6,532.92
  6. Step 6: Final answer
    x = 6,116.22

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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.