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Finding the Fourth Proportional to 11,943.57, 16,480.98 and 6,638.07

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Solution

The fourth proportional to 11,943.57, 16,480.98 and 6,638.07 is: 9,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.57 : 16,480.98 = 6,638.07 : x
  2. Step 2: Convert to fraction form
    11,943.57/16,480.98 = 6,638.07/x
  3. Step 3: Cross multiply
    11,943.57x = 16,480.98 × 6,638.07
  4. Step 4: Simplify right side
    11,943.57x = 109,401,898.91
  5. Step 5: Solve for x
    x = 109,401,898.91/11,943.57
  6. Step 6: Final answer
    x = 9,159.90

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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.