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Finding the Fourth Proportional to 11,604.60, 17,402.76 and 4,207.14

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Solution

The fourth proportional to 11,604.60, 17,402.76 and 4,207.14 is: 6,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.60 : 17,402.76 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    11,604.60/17,402.76 = 4,207.14/x
  3. Step 3: Cross multiply
    11,604.60x = 17,402.76 × 4,207.14
  4. Step 4: Simplify right side
    11,604.60x = 73,215,847.71
  5. Step 5: Solve for x
    x = 73,215,847.71/11,604.60
  6. Step 6: Final answer
    x = 6,309.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.