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Finding the Fourth Proportional to 10,711.55, 16,065.74 and 6,271.26

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Solution

The fourth proportional to 10,711.55, 16,065.74 and 6,271.26 is: 9,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.55 : 16,065.74 = 6,271.26 : x
  2. Step 2: Convert to fraction form
    10,711.55/16,065.74 = 6,271.26/x
  3. Step 3: Cross multiply
    10,711.55x = 16,065.74 × 6,271.26
  4. Step 4: Simplify right side
    10,711.55x = 100,752,401.28
  5. Step 5: Solve for x
    x = 100,752,401.28/10,711.55
  6. Step 6: Final answer
    x = 9,405.96

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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.