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Finding the Fourth Proportional to 10,082.40, 13,914.03 and 5,606.34

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Solution

The fourth proportional to 10,082.40, 13,914.03 and 5,606.34 is: 7,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.40 : 13,914.03 = 5,606.34 : x
  2. Step 2: Convert to fraction form
    10,082.40/13,914.03 = 5,606.34/x
  3. Step 3: Cross multiply
    10,082.40x = 13,914.03 × 5,606.34
  4. Step 4: Simplify right side
    10,082.40x = 78,006,720.26
  5. Step 5: Solve for x
    x = 78,006,720.26/10,082.40
  6. Step 6: Final answer
    x = 7,736.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.