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Finding the Fourth Proportional to 8,481.04, 11,712 and 5,834.77

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Solution

The fourth proportional to 8,481.04, 11,712 and 5,834.77 is: 8,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.04 : 11,712 = 5,834.77 : x
  2. Step 2: Convert to fraction form
    8,481.04/11,712 = 5,834.77/x
  3. Step 3: Cross multiply
    8,481.04x = 11,712 × 5,834.77
  4. Step 4: Simplify right side
    8,481.04x = 68,336,826.24
  5. Step 5: Solve for x
    x = 68,336,826.24/8,481.04
  6. Step 6: Final answer
    x = 8,057.60

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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.