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Finding the Fourth Proportional to 15,060.26, 20,783.28 and 8,346

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Solution

The fourth proportional to 15,060.26, 20,783.28 and 8,346 is: 11,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,060.26 : 20,783.28 = 8,346 : x
  2. Step 2: Convert to fraction form
    15,060.26/20,783.28 = 8,346/x
  3. Step 3: Cross multiply
    15,060.26x = 20,783.28 × 8,346
  4. Step 4: Simplify right side
    15,060.26x = 173,457,270.53
  5. Step 5: Solve for x
    x = 173,457,270.53/15,060.26
  6. Step 6: Final answer
    x = 11,517.54

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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.