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Finding the Fourth Proportional to 11,808.44, 16,295.64 and 6,503.24

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Solution

The fourth proportional to 11,808.44, 16,295.64 and 6,503.24 is: 8,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.44 : 16,295.64 = 6,503.24 : x
  2. Step 2: Convert to fraction form
    11,808.44/16,295.64 = 6,503.24/x
  3. Step 3: Cross multiply
    11,808.44x = 16,295.64 × 6,503.24
  4. Step 4: Simplify right side
    11,808.44x = 105,974,457.87
  5. Step 5: Solve for x
    x = 105,974,457.87/11,808.44
  6. Step 6: Final answer
    x = 8,974.47

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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.