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Finding the Fourth Proportional to 7,813.92, 11,715.69 and 4,305.61

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Solution

The fourth proportional to 7,813.92, 11,715.69 and 4,305.61 is: 6,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.92 : 11,715.69 = 4,305.61 : x
  2. Step 2: Convert to fraction form
    7,813.92/11,715.69 = 4,305.61/x
  3. Step 3: Cross multiply
    7,813.92x = 11,715.69 × 4,305.61
  4. Step 4: Simplify right side
    7,813.92x = 50,443,132.69
  5. Step 5: Solve for x
    x = 50,443,132.69/7,813.92
  6. Step 6: Final answer
    x = 6,455.55

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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.