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Finding the Fourth Proportional to 11,885.41, 16,401.49 and 6,507.61

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Solution

The fourth proportional to 11,885.41, 16,401.49 and 6,507.61 is: 8,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.41 : 16,401.49 = 6,507.61 : x
  2. Step 2: Convert to fraction form
    11,885.41/16,401.49 = 6,507.61/x
  3. Step 3: Cross multiply
    11,885.41x = 16,401.49 × 6,507.61
  4. Step 4: Simplify right side
    11,885.41x = 106,734,500.34
  5. Step 5: Solve for x
    x = 106,734,500.34/11,885.41
  6. Step 6: Final answer
    x = 8,980.30

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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.