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Finding the Fourth Proportional to 11,461.96, 17,200.50 and 4,066.30

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Solution

The fourth proportional to 11,461.96, 17,200.50 and 4,066.30 is: 6,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.96 : 17,200.50 = 4,066.30 : x
  2. Step 2: Convert to fraction form
    11,461.96/17,200.50 = 4,066.30/x
  3. Step 3: Cross multiply
    11,461.96x = 17,200.50 × 4,066.30
  4. Step 4: Simplify right side
    11,461.96x = 69,942,393.15
  5. Step 5: Solve for x
    x = 69,942,393.15/11,461.96
  6. Step 6: Final answer
    x = 6,102.13

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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.