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Finding the Fourth Proportional to 11,662.16, 17,487.29 and 4,264.70

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Solution

The fourth proportional to 11,662.16, 17,487.29 and 4,264.70 is: 6,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.16 : 17,487.29 = 4,264.70 : x
  2. Step 2: Convert to fraction form
    11,662.16/17,487.29 = 4,264.70/x
  3. Step 3: Cross multiply
    11,662.16x = 17,487.29 × 4,264.70
  4. Step 4: Simplify right side
    11,662.16x = 74,577,968.89
  5. Step 5: Solve for x
    x = 74,577,968.89/11,662.16
  6. Step 6: Final answer
    x = 6,394.87

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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.