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Finding the Fourth Proportional to 12,497.40, 17,243.38 and 7,778.34

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Solution

The fourth proportional to 12,497.40, 17,243.38 and 7,778.34 is: 10,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.40 : 17,243.38 = 7,778.34 : x
  2. Step 2: Convert to fraction form
    12,497.40/17,243.38 = 7,778.34/x
  3. Step 3: Cross multiply
    12,497.40x = 17,243.38 × 7,778.34
  4. Step 4: Simplify right side
    12,497.40x = 134,124,872.39
  5. Step 5: Solve for x
    x = 134,124,872.39/12,497.40
  6. Step 6: Final answer
    x = 10,732.22

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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.