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Finding the Fourth Proportional to 11,558, 17,334.10 and 3,235.86

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Solution

The fourth proportional to 11,558, 17,334.10 and 3,235.86 is: 4,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558 : 17,334.10 = 3,235.86 : x
  2. Step 2: Convert to fraction form
    11,558/17,334.10 = 3,235.86/x
  3. Step 3: Cross multiply
    11,558x = 17,334.10 × 3,235.86
  4. Step 4: Simplify right side
    11,558x = 56,090,720.83
  5. Step 5: Solve for x
    x = 56,090,720.83/11,558
  6. Step 6: Final answer
    x = 4,852.98

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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.