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Finding the Fourth Proportional to 12,580.26, 17,360.76 and 6,915.38

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Solution

The fourth proportional to 12,580.26, 17,360.76 and 6,915.38 is: 9,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.26 : 17,360.76 = 6,915.38 : x
  2. Step 2: Convert to fraction form
    12,580.26/17,360.76 = 6,915.38/x
  3. Step 3: Cross multiply
    12,580.26x = 17,360.76 × 6,915.38
  4. Step 4: Simplify right side
    12,580.26x = 120,056,133.27
  5. Step 5: Solve for x
    x = 120,056,133.27/12,580.26
  6. Step 6: Final answer
    x = 9,543.21

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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.