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Finding the Fourth Proportional to 11,782.54, 17,672.19 and 6,854.50

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Solution

The fourth proportional to 11,782.54, 17,672.19 and 6,854.50 is: 10,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.54 : 17,672.19 = 6,854.50 : x
  2. Step 2: Convert to fraction form
    11,782.54/17,672.19 = 6,854.50/x
  3. Step 3: Cross multiply
    11,782.54x = 17,672.19 × 6,854.50
  4. Step 4: Simplify right side
    11,782.54x = 121,134,026.36
  5. Step 5: Solve for x
    x = 121,134,026.36/11,782.54
  6. Step 6: Final answer
    x = 10,280.81

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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.