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Finding the Fourth Proportional to 11,670.99, 16,106.36 and 6,366.11

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Solution

The fourth proportional to 11,670.99, 16,106.36 and 6,366.11 is: 8,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.99 : 16,106.36 = 6,366.11 : x
  2. Step 2: Convert to fraction form
    11,670.99/16,106.36 = 6,366.11/x
  3. Step 3: Cross multiply
    11,670.99x = 16,106.36 × 6,366.11
  4. Step 4: Simplify right side
    11,670.99x = 102,534,747.10
  5. Step 5: Solve for x
    x = 102,534,747.10/11,670.99
  6. Step 6: Final answer
    x = 8,785.44

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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.