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Finding the Fourth Proportional to 11,808.56, 16,295.70 and 6,503.25

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Solution

The fourth proportional to 11,808.56, 16,295.70 and 6,503.25 is: 8,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.56 : 16,295.70 = 6,503.25 : x
  2. Step 2: Convert to fraction form
    11,808.56/16,295.70 = 6,503.25/x
  3. Step 3: Cross multiply
    11,808.56x = 16,295.70 × 6,503.25
  4. Step 4: Simplify right side
    11,808.56x = 105,975,011.03
  5. Step 5: Solve for x
    x = 105,975,011.03/11,808.56
  6. Step 6: Final answer
    x = 8,974.43

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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.