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Finding the Fourth Proportional to 11,323.82, 16,968.42 and 4,746.42

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Solution

The fourth proportional to 11,323.82, 16,968.42 and 4,746.42 is: 7,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.82 : 16,968.42 = 4,746.42 : x
  2. Step 2: Convert to fraction form
    11,323.82/16,968.42 = 4,746.42/x
  3. Step 3: Cross multiply
    11,323.82x = 16,968.42 × 4,746.42
  4. Step 4: Simplify right side
    11,323.82x = 80,539,248.06
  5. Step 5: Solve for x
    x = 80,539,248.06/11,323.82
  6. Step 6: Final answer
    x = 7,112.37

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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.