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Finding the Fourth Proportional to 11,713.46, 17,569.23 and 3,505.46

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Solution

The fourth proportional to 11,713.46, 17,569.23 and 3,505.46 is: 5,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.46 : 17,569.23 = 3,505.46 : x
  2. Step 2: Convert to fraction form
    11,713.46/17,569.23 = 3,505.46/x
  3. Step 3: Cross multiply
    11,713.46x = 17,569.23 × 3,505.46
  4. Step 4: Simplify right side
    11,713.46x = 61,588,233.00
  5. Step 5: Solve for x
    x = 61,588,233.00/11,713.46
  6. Step 6: Final answer
    x = 5,257.90

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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.