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Finding the Fourth Proportional to 7,882.58, 11,824.18 and 2,951.70

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Solution

The fourth proportional to 7,882.58, 11,824.18 and 2,951.70 is: 4,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.58 : 11,824.18 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    7,882.58/11,824.18 = 2,951.70/x
  3. Step 3: Cross multiply
    7,882.58x = 11,824.18 × 2,951.70
  4. Step 4: Simplify right side
    7,882.58x = 34,901,432.11
  5. Step 5: Solve for x
    x = 34,901,432.11/7,882.58
  6. Step 6: Final answer
    x = 4,427.67

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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.