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Finding the Fourth Proportional to 11,607.78, 17,409.60 and 5,367.24

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Solution

The fourth proportional to 11,607.78, 17,409.60 and 5,367.24 is: 8,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.78 : 17,409.60 = 5,367.24 : x
  2. Step 2: Convert to fraction form
    11,607.78/17,409.60 = 5,367.24/x
  3. Step 3: Cross multiply
    11,607.78x = 17,409.60 × 5,367.24
  4. Step 4: Simplify right side
    11,607.78x = 93,441,501.50
  5. Step 5: Solve for x
    x = 93,441,501.50/11,607.78
  6. Step 6: Final answer
    x = 8,049.90

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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.