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Finding the Fourth Proportional to 7,813.12, 11,706.68 and 5,499.76

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Solution

The fourth proportional to 7,813.12, 11,706.68 and 5,499.76 is: 8,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.12 : 11,706.68 = 5,499.76 : x
  2. Step 2: Convert to fraction form
    7,813.12/11,706.68 = 5,499.76/x
  3. Step 3: Cross multiply
    7,813.12x = 11,706.68 × 5,499.76
  4. Step 4: Simplify right side
    7,813.12x = 64,383,930.40
  5. Step 5: Solve for x
    x = 64,383,930.40/7,813.12
  6. Step 6: Final answer
    x = 8,240.49

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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.