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Finding the Fourth Proportional to 11,461.55, 17,193.08 and 3,140.86

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Solution

The fourth proportional to 11,461.55, 17,193.08 and 3,140.86 is: 4,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.55 : 17,193.08 = 3,140.86 : x
  2. Step 2: Convert to fraction form
    11,461.55/17,193.08 = 3,140.86/x
  3. Step 3: Cross multiply
    11,461.55x = 17,193.08 × 3,140.86
  4. Step 4: Simplify right side
    11,461.55x = 54,001,057.25
  5. Step 5: Solve for x
    x = 54,001,057.25/11,461.55
  6. Step 6: Final answer
    x = 4,711.50

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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.