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Finding the Fourth Proportional to 7,857.20, 11,766.20 and 5,506.16

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Solution

The fourth proportional to 7,857.20, 11,766.20 and 5,506.16 is: 8,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.20 : 11,766.20 = 5,506.16 : x
  2. Step 2: Convert to fraction form
    7,857.20/11,766.20 = 5,506.16/x
  3. Step 3: Cross multiply
    7,857.20x = 11,766.20 × 5,506.16
  4. Step 4: Simplify right side
    7,857.20x = 64,786,579.79
  5. Step 5: Solve for x
    x = 64,786,579.79/7,857.20
  6. Step 6: Final answer
    x = 8,245.50

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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.