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Finding the Fourth Proportional to 11,711.95, 17,559.70 and 4,315.43

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Solution

The fourth proportional to 11,711.95, 17,559.70 and 4,315.43 is: 6,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.95 : 17,559.70 = 4,315.43 : x
  2. Step 2: Convert to fraction form
    11,711.95/17,559.70 = 4,315.43/x
  3. Step 3: Cross multiply
    11,711.95x = 17,559.70 × 4,315.43
  4. Step 4: Simplify right side
    11,711.95x = 75,777,689.28
  5. Step 5: Solve for x
    x = 75,777,689.28/11,711.95
  6. Step 6: Final answer
    x = 6,470.12

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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.