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Finding the Fourth Proportional to 8,847.50, 13,277.33 and 3,653.42

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Solution

The fourth proportional to 8,847.50, 13,277.33 and 3,653.42 is: 5,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.50 : 13,277.33 = 3,653.42 : x
  2. Step 2: Convert to fraction form
    8,847.50/13,277.33 = 3,653.42/x
  3. Step 3: Cross multiply
    8,847.50x = 13,277.33 × 3,653.42
  4. Step 4: Simplify right side
    8,847.50x = 48,507,644.70
  5. Step 5: Solve for x
    x = 48,507,644.70/8,847.50
  6. Step 6: Final answer
    x = 5,482.64

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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.