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Finding the Fourth Proportional to 8,100.41, 11,178.51 and 4,564.76

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Solution

The fourth proportional to 8,100.41, 11,178.51 and 4,564.76 is: 6,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.41 : 11,178.51 = 4,564.76 : x
  2. Step 2: Convert to fraction form
    8,100.41/11,178.51 = 4,564.76/x
  3. Step 3: Cross multiply
    8,100.41x = 11,178.51 × 4,564.76
  4. Step 4: Simplify right side
    8,100.41x = 51,027,215.31
  5. Step 5: Solve for x
    x = 51,027,215.31/8,100.41
  6. Step 6: Final answer
    x = 6,299.34

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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.