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Finding the Fourth Proportional to 7,335.96, 11,004.78 and 2,141.82

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Solution

The fourth proportional to 7,335.96, 11,004.78 and 2,141.82 is: 3,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.96 : 11,004.78 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    7,335.96/11,004.78 = 2,141.82/x
  3. Step 3: Cross multiply
    7,335.96x = 11,004.78 × 2,141.82
  4. Step 4: Simplify right side
    7,335.96x = 23,570,257.90
  5. Step 5: Solve for x
    x = 23,570,257.90/7,335.96
  6. Step 6: Final answer
    x = 3,212.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.