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Finding the Fourth Proportional to 8,404.46, 11,597.63 and 5,046.50

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Solution

The fourth proportional to 8,404.46, 11,597.63 and 5,046.50 is: 6,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.46 : 11,597.63 = 5,046.50 : x
  2. Step 2: Convert to fraction form
    8,404.46/11,597.63 = 5,046.50/x
  3. Step 3: Cross multiply
    8,404.46x = 11,597.63 × 5,046.50
  4. Step 4: Simplify right side
    8,404.46x = 58,527,471.94
  5. Step 5: Solve for x
    x = 58,527,471.94/8,404.46
  6. Step 6: Final answer
    x = 6,963.86

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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.