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Finding the Fourth Proportional to 12,461.52, 17,189.94 and 7,915.80

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Solution

The fourth proportional to 12,461.52, 17,189.94 and 7,915.80 is: 10,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.52 : 17,189.94 = 7,915.80 : x
  2. Step 2: Convert to fraction form
    12,461.52/17,189.94 = 7,915.80/x
  3. Step 3: Cross multiply
    12,461.52x = 17,189.94 × 7,915.80
  4. Step 4: Simplify right side
    12,461.52x = 136,072,127.05
  5. Step 5: Solve for x
    x = 136,072,127.05/12,461.52
  6. Step 6: Final answer
    x = 10,919.38

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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.