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Finding the Fourth Proportional to 11,895.92, 16,416.45 and 6,518.63

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Solution

The fourth proportional to 11,895.92, 16,416.45 and 6,518.63 is: 8,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.92 : 16,416.45 = 6,518.63 : x
  2. Step 2: Convert to fraction form
    11,895.92/16,416.45 = 6,518.63/x
  3. Step 3: Cross multiply
    11,895.92x = 16,416.45 × 6,518.63
  4. Step 4: Simplify right side
    11,895.92x = 107,012,763.46
  5. Step 5: Solve for x
    x = 107,012,763.46/11,895.92
  6. Step 6: Final answer
    x = 8,995.75

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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.