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Finding the Fourth Proportional to 11,670.30, 16,105.97 and 6,636.10

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Solution

The fourth proportional to 11,670.30, 16,105.97 and 6,636.10 is: 9,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.30 : 16,105.97 = 6,636.10 : x
  2. Step 2: Convert to fraction form
    11,670.30/16,105.97 = 6,636.10/x
  3. Step 3: Cross multiply
    11,670.30x = 16,105.97 × 6,636.10
  4. Step 4: Simplify right side
    11,670.30x = 106,880,827.52
  5. Step 5: Solve for x
    x = 106,880,827.52/11,670.30
  6. Step 6: Final answer
    x = 9,158.36

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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.