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Finding the Fourth Proportional to 8,966.37, 13,435.49 and 5,672.50

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Solution

The fourth proportional to 8,966.37, 13,435.49 and 5,672.50 is: 8,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.37 : 13,435.49 = 5,672.50 : x
  2. Step 2: Convert to fraction form
    8,966.37/13,435.49 = 5,672.50/x
  3. Step 3: Cross multiply
    8,966.37x = 13,435.49 × 5,672.50
  4. Step 4: Simplify right side
    8,966.37x = 76,212,817.03
  5. Step 5: Solve for x
    x = 76,212,817.03/8,966.37
  6. Step 6: Final answer
    x = 8,499.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.