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Finding the Fourth Proportional to 11,093.76, 15,309.38 and 6,125.76

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Solution

The fourth proportional to 11,093.76, 15,309.38 and 6,125.76 is: 8,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.76 : 15,309.38 = 6,125.76 : x
  2. Step 2: Convert to fraction form
    11,093.76/15,309.38 = 6,125.76/x
  3. Step 3: Cross multiply
    11,093.76x = 15,309.38 × 6,125.76
  4. Step 4: Simplify right side
    11,093.76x = 93,781,587.63
  5. Step 5: Solve for x
    x = 93,781,587.63/11,093.76
  6. Step 6: Final answer
    x = 8,453.54

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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.