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Finding the Fourth Proportional to 8,509.73, 11,740.92 and 4,972.85

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Solution

The fourth proportional to 8,509.73, 11,740.92 and 4,972.85 is: 6,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.73 : 11,740.92 = 4,972.85 : x
  2. Step 2: Convert to fraction form
    8,509.73/11,740.92 = 4,972.85/x
  3. Step 3: Cross multiply
    8,509.73x = 11,740.92 × 4,972.85
  4. Step 4: Simplify right side
    8,509.73x = 58,385,834.02
  5. Step 5: Solve for x
    x = 58,385,834.02/8,509.73
  6. Step 6: Final answer
    x = 6,861.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.