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Finding the Fourth Proportional to 8,405.67, 11,599.30 and 5,046.50

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Solution

The fourth proportional to 8,405.67, 11,599.30 and 5,046.50 is: 6,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.67 : 11,599.30 = 5,046.50 : x
  2. Step 2: Convert to fraction form
    8,405.67/11,599.30 = 5,046.50/x
  3. Step 3: Cross multiply
    8,405.67x = 11,599.30 × 5,046.50
  4. Step 4: Simplify right side
    8,405.67x = 58,535,902.76
  5. Step 5: Solve for x
    x = 58,535,902.76/8,405.67
  6. Step 6: Final answer
    x = 6,963.86

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Why These Related Problems?

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