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Finding the Fourth Proportional to 11,709.34, 17,560.34 and 3,916.34

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Solution

The fourth proportional to 11,709.34, 17,560.34 and 3,916.34 is: 5,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.34 : 17,560.34 = 3,916.34 : x
  2. Step 2: Convert to fraction form
    11,709.34/17,560.34 = 3,916.34/x
  3. Step 3: Cross multiply
    11,709.34x = 17,560.34 × 3,916.34
  4. Step 4: Simplify right side
    11,709.34x = 68,772,261.96
  5. Step 5: Solve for x
    x = 68,772,261.96/11,709.34
  6. Step 6: Final answer
    x = 5,873.28

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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.