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Finding the Fourth Proportional to 11,323.58, 16,963.26 and 7,416.14

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Solution

The fourth proportional to 11,323.58, 16,963.26 and 7,416.14 is: 11,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.58 : 16,963.26 = 7,416.14 : x
  2. Step 2: Convert to fraction form
    11,323.58/16,963.26 = 7,416.14/x
  3. Step 3: Cross multiply
    11,323.58x = 16,963.26 × 7,416.14
  4. Step 4: Simplify right side
    11,323.58x = 125,801,911.02
  5. Step 5: Solve for x
    x = 125,801,911.02/11,323.58
  6. Step 6: Final answer
    x = 11,109.73

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