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Finding the Fourth Proportional to 7,803.42, 11,711.70 and 3,126.72

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Solution

The fourth proportional to 7,803.42, 11,711.70 and 3,126.72 is: 4,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.42 : 11,711.70 = 3,126.72 : x
  2. Step 2: Convert to fraction form
    7,803.42/11,711.70 = 3,126.72/x
  3. Step 3: Cross multiply
    7,803.42x = 11,711.70 × 3,126.72
  4. Step 4: Simplify right side
    7,803.42x = 36,619,206.62
  5. Step 5: Solve for x
    x = 36,619,206.62/7,803.42
  6. Step 6: Final answer
    x = 4,692.71

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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.