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Finding the Fourth Proportional to 11,808.58, 16,295.70 and 6,503.29

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Solution

The fourth proportional to 11,808.58, 16,295.70 and 6,503.29 is: 8,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.58 : 16,295.70 = 6,503.29 : x
  2. Step 2: Convert to fraction form
    11,808.58/16,295.70 = 6,503.29/x
  3. Step 3: Cross multiply
    11,808.58x = 16,295.70 × 6,503.29
  4. Step 4: Simplify right side
    11,808.58x = 105,975,662.85
  5. Step 5: Solve for x
    x = 105,975,662.85/11,808.58
  6. Step 6: Final answer
    x = 8,974.46

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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.