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Finding the Fourth Proportional to 12,328.81, 17,000.38 and 7,846.83

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Solution

The fourth proportional to 12,328.81, 17,000.38 and 7,846.83 is: 10,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.81 : 17,000.38 = 7,846.83 : x
  2. Step 2: Convert to fraction form
    12,328.81/17,000.38 = 7,846.83/x
  3. Step 3: Cross multiply
    12,328.81x = 17,000.38 × 7,846.83
  4. Step 4: Simplify right side
    12,328.81x = 133,399,072.18
  5. Step 5: Solve for x
    x = 133,399,072.18/12,328.81
  6. Step 6: Final answer
    x = 10,820.11

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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.