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Finding the Fourth Proportional to 11,503.82, 15,876.27 and 6,469.30

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Solution

The fourth proportional to 11,503.82, 15,876.27 and 6,469.30 is: 8,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.82 : 15,876.27 = 6,469.30 : x
  2. Step 2: Convert to fraction form
    11,503.82/15,876.27 = 6,469.30/x
  3. Step 3: Cross multiply
    11,503.82x = 15,876.27 × 6,469.30
  4. Step 4: Simplify right side
    11,503.82x = 102,708,373.36
  5. Step 5: Solve for x
    x = 102,708,373.36/11,503.82
  6. Step 6: Final answer
    x = 8,928.20

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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.