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Finding the Fourth Proportional to 11,808.69, 16,295.96 and 6,503.50

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Solution

The fourth proportional to 11,808.69, 16,295.96 and 6,503.50 is: 8,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.69 : 16,295.96 = 6,503.50 : x
  2. Step 2: Convert to fraction form
    11,808.69/16,295.96 = 6,503.50/x
  3. Step 3: Cross multiply
    11,808.69x = 16,295.96 × 6,503.50
  4. Step 4: Simplify right side
    11,808.69x = 105,980,775.91
  5. Step 5: Solve for x
    x = 105,980,775.91/11,808.69
  6. Step 6: Final answer
    x = 8,974.82

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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.