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Finding the Fourth Proportional to 8,572.46, 11,815.83 and 5,738.81

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Solution

The fourth proportional to 8,572.46, 11,815.83 and 5,738.81 is: 7,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.46 : 11,815.83 = 5,738.81 : x
  2. Step 2: Convert to fraction form
    8,572.46/11,815.83 = 5,738.81/x
  3. Step 3: Cross multiply
    8,572.46x = 11,815.83 × 5,738.81
  4. Step 4: Simplify right side
    8,572.46x = 67,808,744.28
  5. Step 5: Solve for x
    x = 67,808,744.28/8,572.46
  6. Step 6: Final answer
    x = 7,910.07

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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.