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Finding the Fourth Proportional to 11,623.50, 16,046.10 and 7,151.22

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Solution

The fourth proportional to 11,623.50, 16,046.10 and 7,151.22 is: 9,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.50 : 16,046.10 = 7,151.22 : x
  2. Step 2: Convert to fraction form
    11,623.50/16,046.10 = 7,151.22/x
  3. Step 3: Cross multiply
    11,623.50x = 16,046.10 × 7,151.22
  4. Step 4: Simplify right side
    11,623.50x = 114,749,191.24
  5. Step 5: Solve for x
    x = 114,749,191.24/11,623.50
  6. Step 6: Final answer
    x = 9,872.17

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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.