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Finding the Fourth Proportional to 11,211.63, 15,473.87 and 6,498.64

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Solution

The fourth proportional to 11,211.63, 15,473.87 and 6,498.64 is: 8,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.63 : 15,473.87 = 6,498.64 : x
  2. Step 2: Convert to fraction form
    11,211.63/15,473.87 = 6,498.64/x
  3. Step 3: Cross multiply
    11,211.63x = 15,473.87 × 6,498.64
  4. Step 4: Simplify right side
    11,211.63x = 100,559,110.54
  5. Step 5: Solve for x
    x = 100,559,110.54/11,211.63
  6. Step 6: Final answer
    x = 8,969.18

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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.