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Finding the Fourth Proportional to 11,645.20, 16,069.86 and 6,340.03

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Solution

The fourth proportional to 11,645.20, 16,069.86 and 6,340.03 is: 8,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.20 : 16,069.86 = 6,340.03 : x
  2. Step 2: Convert to fraction form
    11,645.20/16,069.86 = 6,340.03/x
  3. Step 3: Cross multiply
    11,645.20x = 16,069.86 × 6,340.03
  4. Step 4: Simplify right side
    11,645.20x = 101,883,394.50
  5. Step 5: Solve for x
    x = 101,883,394.50/11,645.20
  6. Step 6: Final answer
    x = 8,748.96

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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.