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Finding the Fourth Proportional to 11,709.38, 17,570.98 and 4,319.02

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Solution

The fourth proportional to 11,709.38, 17,570.98 and 4,319.02 is: 6,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.38 : 17,570.98 = 4,319.02 : x
  2. Step 2: Convert to fraction form
    11,709.38/17,570.98 = 4,319.02/x
  3. Step 3: Cross multiply
    11,709.38x = 17,570.98 × 4,319.02
  4. Step 4: Simplify right side
    11,709.38x = 75,889,414.04
  5. Step 5: Solve for x
    x = 75,889,414.04/11,709.38
  6. Step 6: Final answer
    x = 6,481.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.