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Finding the Fourth Proportional to 11,606.84, 16,020.08 and 7,363.76

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Solution

The fourth proportional to 11,606.84, 16,020.08 and 7,363.76 is: 10,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.84 : 16,020.08 = 7,363.76 : x
  2. Step 2: Convert to fraction form
    11,606.84/16,020.08 = 7,363.76/x
  3. Step 3: Cross multiply
    11,606.84x = 16,020.08 × 7,363.76
  4. Step 4: Simplify right side
    11,606.84x = 117,968,025.11
  5. Step 5: Solve for x
    x = 117,968,025.11/11,606.84
  6. Step 6: Final answer
    x = 10,163.66

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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.