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Finding the Fourth Proportional to 8,305.47, 11,462.58 and 4,768.61

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Solution

The fourth proportional to 8,305.47, 11,462.58 and 4,768.61 is: 6,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.47 : 11,462.58 = 4,768.61 : x
  2. Step 2: Convert to fraction form
    8,305.47/11,462.58 = 4,768.61/x
  3. Step 3: Cross multiply
    8,305.47x = 11,462.58 × 4,768.61
  4. Step 4: Simplify right side
    8,305.47x = 54,660,516.30
  5. Step 5: Solve for x
    x = 54,660,516.30/8,305.47
  6. Step 6: Final answer
    x = 6,581.27

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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.