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Finding the Fourth Proportional to 11,709.90, 17,561.25 and 4,315.02

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Solution

The fourth proportional to 11,709.90, 17,561.25 and 4,315.02 is: 6,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.90 : 17,561.25 = 4,315.02 : x
  2. Step 2: Convert to fraction form
    11,709.90/17,561.25 = 4,315.02/x
  3. Step 3: Cross multiply
    11,709.90x = 17,561.25 × 4,315.02
  4. Step 4: Simplify right side
    11,709.90x = 75,777,144.98
  5. Step 5: Solve for x
    x = 75,777,144.98/11,709.90
  6. Step 6: Final answer
    x = 6,471.20

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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.