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Finding the Fourth Proportional to 11,850.50, 17,775.76 and 4,059.12

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Solution

The fourth proportional to 11,850.50, 17,775.76 and 4,059.12 is: 6,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.50 : 17,775.76 = 4,059.12 : x
  2. Step 2: Convert to fraction form
    11,850.50/17,775.76 = 4,059.12/x
  3. Step 3: Cross multiply
    11,850.50x = 17,775.76 × 4,059.12
  4. Step 4: Simplify right side
    11,850.50x = 72,153,942.93
  5. Step 5: Solve for x
    x = 72,153,942.93/11,850.50
  6. Step 6: Final answer
    x = 6,088.68

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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.