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Finding the Fourth Proportional to 12,705.75, 17,533.38 and 7,040.49

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Solution

The fourth proportional to 12,705.75, 17,533.38 and 7,040.49 is: 9,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.75 : 17,533.38 = 7,040.49 : x
  2. Step 2: Convert to fraction form
    12,705.75/17,533.38 = 7,040.49/x
  3. Step 3: Cross multiply
    12,705.75x = 17,533.38 × 7,040.49
  4. Step 4: Simplify right side
    12,705.75x = 123,443,586.56
  5. Step 5: Solve for x
    x = 123,443,586.56/12,705.75
  6. Step 6: Final answer
    x = 9,715.57

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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.