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Finding the Fourth Proportional to 11,803.96, 16,295.34 and 9,145.36

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Solution

The fourth proportional to 11,803.96, 16,295.34 and 9,145.36 is: 12,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.96 : 16,295.34 = 9,145.36 : x
  2. Step 2: Convert to fraction form
    11,803.96/16,295.34 = 9,145.36/x
  3. Step 3: Cross multiply
    11,803.96x = 16,295.34 × 9,145.36
  4. Step 4: Simplify right side
    11,803.96x = 149,026,750.62
  5. Step 5: Solve for x
    x = 149,026,750.62/11,803.96
  6. Step 6: Final answer
    x = 12,625.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.