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Finding the Fourth Proportional to 27,176.62, 40,765.05 and 7,455.40

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Solution

The fourth proportional to 27,176.62, 40,765.05 and 7,455.40 is: 11,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.62 : 40,765.05 = 7,455.40 : x
  2. Step 2: Convert to fraction form
    27,176.62/40,765.05 = 7,455.40/x
  3. Step 3: Cross multiply
    27,176.62x = 40,765.05 × 7,455.40
  4. Step 4: Simplify right side
    27,176.62x = 303,919,753.77
  5. Step 5: Solve for x
    x = 303,919,753.77/27,176.62
  6. Step 6: Final answer
    x = 11,183.13

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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.