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Finding the Fourth Proportional to 11,695.50, 17,551.44 and 5,123.70

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Solution

The fourth proportional to 11,695.50, 17,551.44 and 5,123.70 is: 7,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.50 : 17,551.44 = 5,123.70 : x
  2. Step 2: Convert to fraction form
    11,695.50/17,551.44 = 5,123.70/x
  3. Step 3: Cross multiply
    11,695.50x = 17,551.44 × 5,123.70
  4. Step 4: Simplify right side
    11,695.50x = 89,928,313.13
  5. Step 5: Solve for x
    x = 89,928,313.13/11,695.50
  6. Step 6: Final answer
    x = 7,689.14

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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.